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Introduction to the analysis on manifolds with conical singularities. (English) Zbl 07919533

Chatzakou, Marianna (ed.) et al., Modern problems in PDEs and applications. Extended abstracts of the 2023 GAP Center summer school, Ghent, Belgium, August 23 – September 2, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 4, 105-118 (2024).

MSC: 35-02 35S05 58J05 58J40 46E35 47L15

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Huang, Wu-Hsiung

A global Morse index theorem and applications to Jacobi fields on CMC surfaces. (English) Zbl 07916670

Commun. Contemp. Math. 26, No. 10, Article ID 2350064, 44 p. (2024).

MSC: 53C23 58E12 35J25 46E35 49R05

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Cioletti, L.; Hataishi, L. Y.; Lopes, A. O.; Stadlbauer, M.

Spectral triples and Dixmier trace representations of Gibbs measures: theory and examples. (English) Zbl 07909999

Nonlinearity 37, No. 10, Article ID 105010, 56 p. (2024).

MSC: 28Dxx 37C30 37D35 58B34

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Kristály, Alexandru

Sharp Sobolev inequalities on noncompact Riemannian manifolds with \(\mathrm{Ric} \geq 0\) via optimal transport theory. (English) Zbl 07906098

Calc. Var. Partial Differ. Equ. 63, No. 8, Paper No. 200, 25 p. (2024).

MSC: 28A25 26D15 46E35 49Q22 58J60

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Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita

Corrigendum to: “Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results”. (English) Zbl 07896321

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1323-1324 (2024).

MSC: 26D10 58J99 39B62 43A90 49J40 46E35

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Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita

Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. (English) Zbl 07896320

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 41, No. 5, 1289-1321 (2024); corrigendum ibid. 41, No. 5, 1323-1324 (2024).

MSC: 26D10 58J99 39B62 43A90 49J40 46E35

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Zhang, Mengjie

Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary. (English) Zbl 07885747

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 3, Paper No. 119, 38 p. (2024).

Reviewer: Mohammed El Aïdi (Bogotá)

MSC: 58J05 46E35 30F10

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Mahudu, Ben Moditi; Tshilombo, Mukinayi Herménégilde

On the way to Frölicher bornology. (English) Zbl 1543.58006

Quaest. Math. 47, No. 6, 1257-1270 (2024).

Reviewer: Savin Treanţă (Bucureşti)

MSC: 58A40 18A05 46A17 46E35 54A10 54F65

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Scott, James M.; Du, Qiang

Nonlocal problems with local boundary conditions. I: Function spaces and variational principles. (English) Zbl 07879899

SIAM J. Math. Anal. 56, No. 3, 4185-4222 (2024).

Reviewer: Zijia Peng (Nanning)

MSC: 49J40 46E35 58E30 45K05

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Savin, Anton; Schrohe, Elmar

Noncommutative residues, equivariant traces, and trace expansions for an operator algebra on \(\mathbb{R}^n\). (English) Zbl 1540.58017

J. Funct. Anal. 287, No. 4, Article ID 110477, 45 p. (2024).

MSC: 58J40 58J42 47G10

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Huang, Bingrong

The cubic moment of Hecke-Maass cusp forms and moments of \(L\)-functions. (English) Zbl 07845327

Math. Ann. 389, No. 1, 899-945 (2024).

Reviewer: Audrey A. Terras (La Jolla)

MSC: 11F12 11F72 58J51 81Q50

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Zhang, Mengjie

A trace Trudinger-Moser inequality involving \(L^p\)-norm on a compact Riemann surface with boundary. (English) Zbl 07843766

Proc. Am. Math. Soc. 152, No. 6, 2555-2570 (2024).

MSC: 46E35 58J05 58J32

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Zhang, Mengjie

Nonexistence of extremals for an improved Adimurthi-Druet inequality involving \(L^p\)-norm on a closed Riemann surface. (English) Zbl 07836670

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper No. 27, 20 p. (2024).

MSC: 46E35 58J05

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Brigati, Giovanni; Dolbeault, Jean; Simonov, Nikita

On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874

C. R., Math., Acad. Sci. Paris 362, 21-44 (2024).

MSC: 26D10 46T12 46E35 39B62 43A90 49J40 58E35

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Marini, Ludovico; Veronelli, Giona

Some functional properties on Cartan-Hadamard manifolds of very negative curvature. (English) Zbl 1540.53063

J. Geom. Anal. 34, No. 4, Paper No. 106, 34 p. (2024).

MSC: 53C21 58J05 58J65 46E35

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Liu, Liguang; Sun, Yuhua; Xiao, Jie

Quasilinear Laplace equations and inequalities with fractional orders. (English) Zbl 1532.35489

Math. Ann. 388, No. 1, 1-60 (2024).

MSC: 35R11 35A23 35J92 35R45 42B30 46E35 58E35

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Rey, Carolina Ana; Saintier, Nicolas

Non-local equations and optimal Sobolev inequalities on compact manifolds. (English) Zbl 1527.35454

J. Geom. Anal. 34, No. 1, Paper No. 17, 33 p. (2024).

MSC: 35R01 35A15 35A23 35R11 46E35 58J05

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Ó, João Marcos do; Lu, Guozhen; Ponciano, Raoní

Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces. arXiv:2408.13599

Preprint, arXiv:2408.13599 [math.AP] (2024).

MSC: 26D10 46E30 46E35 35J60 35J30 58J70 35A23

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Pilipović, Stevan; Prangoski, Bojan

Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem. arXiv:2408.10741

Preprint, arXiv:2408.10741 [math.AP] (2024).

MSC: 46E35 58J40

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Borgia, Natalino; Cingolani, Silvia; Mancini, Gabriele

On \(N\)-Euclidean Logarithmic Moser-Trudinger-Onofri inequality and some geometrical variants. arXiv:2408.04335

Preprint, arXiv:2408.04335 [math.AP] (2024).

MSC: 26D10 46E30 46E35 58E35 35J92

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Bouchala, Ondrěj; Jääskeläinen, Jarmo; Koskela, Pekka; Xu, Haiqing; Zhou, Xilin

Homeomorphic Sobolev extensions of parametrizations of Jordan curves. arXiv:2408.00506

Preprint, arXiv:2408.00506 [math.CV] (2024).

MSC: 46E35 30C62 58E20

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Dipasquale, Federico Luigi

Singular extension of critical Sobolev mappings with values into complete Riemannian manifolds. arXiv:2406.05570

Preprint, arXiv:2406.05570 [math.AP] (2024).

MSC: 58D15 46E35

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Daniel, Benoît; Labrunie, Simon; Nistor, Victor

Uniform estimates for a family of Poisson problems: ‘rounding off the corners’. arXiv:2406.04773

Preprint, arXiv:2406.04773 [math.AP] (2024).

MSC: 35R01 35J15 46E35 58J32

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Okeke, N. O.; Egwe, M. E.

Partial Algebras of Sobolev Spaces and their Groupoid Characterization. arXiv:2405.18436

Preprint, arXiv:2405.18436 [math.FA] (2024).

MSC: 22A22 58H05 46E35 47L60

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Van Schaftingen, Jean

The extension of traces for Sobolev mappings between manifolds. arXiv:2403.18738

Preprint, arXiv:2403.18738 [math.AP] (2024).

MSC: 58D15 46E35 46T10 58C25 58J32

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Detaille, Antoine; Mazowiecka, Katarzyna

Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere. arXiv:2403.12662

Preprint, arXiv:2403.12662 [math.AP] (2024).

MSC: 58E20 46E35

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Murach, Aleksandr; Zinchenko, Tetiana

Extended Sobolev scale for vector bundles, and its applications. arXiv:2403.05349

Preprint, arXiv:2403.05349 [math.AP] (2024).

MSC: 35J48 58J05 46B70 46E35

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Gianocca, Matilde

Optimal weighted Wente’s inequality. arXiv:2402.04156

Preprint, arXiv:2402.04156 [math.AP] (2024).

MSC: 35G15 46E35 49J40 31Axx 58E20

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Baer, Christian; Bandara, Lashi

First-order elliptic boundary value problems on manifolds with non-compact boundary. arXiv:2401.17784

Preprint, arXiv:2401.17784 [math.DG] (2024).

MSC: 35J56 47A53 58J05 58J32 46E35 53C21

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Pauly, Dirk; Zulehner, Walter

The elasticity complex: compact embeddings and regular decompositions. (English) Zbl 1541.35139

Appl. Anal. 102, No. 16, 4393-4421 (2023).

MSC: 35G15 46E35 58A14

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El Aidi, Mohammed

On a new parabolic Sobolev embedding map. (English) Zbl 07836912

Moroccan J. Pure Appl. Anal. 9, No. 3, 331-338 (2023).

MSC: 32U20 46E35 58J35

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Campbell, Daniel; Kauranen, Aapo; Radici, Emanuela

Minimal extension for the \(\alpha\)-Manhattan norm. (English) Zbl 07828295

Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 4, 773-807 (2023).

MSC: 26B10 46E35 30E10 58E20

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Cheng, Li-Juan; Thalmaier, Anton

Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows. (English) Zbl 1530.35118

Anal. PDE 16, No. 7, 1589-1620 (2023).

MSC: 35K08 35A08 46E35 42B35 58J35

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Čap, Andreas; Hu, Kaibo

Bounded Poincaré operators for twisted and BGG complexes. (English. French summary) Zbl 07755451

J. Math. Pures Appl. (9) 179, 253-276 (2023).

MSC: 58J10 65N30 58A12 58A10 46E35 47G10

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Muratori, Matteo; Soave, Nicola

Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds. (English) Zbl 1522.58012

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 2, 751-792 (2023).

MSC: 58J05 35B53 35J92 58J70 46E35

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Dai, Wei; Hu, Yunyun; Liu, Zhao

Sharp reversed Hardy-Littlewood-Sobolev inequality with extension kernel. (English) Zbl 1520.42011

Stud. Math. 271, No. 1, 1-38 (2023).

MSC: 42B25 35A23 42B37 26D10 46E35 58J60 35J60

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Park, Woongbae; Schikorra, Armin

Quantitative estimates for fractional Sobolev mappings in rational homotopy groups. (English) Zbl 1530.55011

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 235, Article ID 113349, 16 p. (2023).

Reviewer: Zdzisław Dzedzej (Gdańsk)

MSC: 55P62 55Q25 46E35 58A12

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Mesmar, Hussein

Best constant and mountain-pass solutions for a supercritical Hardy-Sobolev problem in the presence of symmetries. (English) Zbl 1522.58011

J. Math. Anal. Appl. 527, No. 2, Article ID 127437, 30 p. (2023).

Reviewer: Mohammed El Aïdi (Bogotá)

MSC: 58J05 35J60 35J20 46E35 53C21

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Koski, Aleksis; Onninen, Jani

Bi-Sobolev extensions. (English) Zbl 1529.46027

J. Geom. Anal. 33, No. 9, Paper No. 301, 18 p. (2023).

MSC: 46E35 26B10 30C62 58E20

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Bonora, L.

Addendum to: “Weyl cocycles”. (English) Zbl 1526.81037

Classical Quantum Gravity 40, No. 14, Article ID 149401, 8 p. (2023).

MSC: 81T50 83C47 83E15 37A20 58J90 81T99 57T15 46E35

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Goffeng, Magnus; Nest, Ryszard

Exotic cyclic cohomology classes and Lipschitz algebras. (English) Zbl 1523.58021

Ann. \(K\)-Theory 8, No. 2, 221-243 (2023).

Reviewer: Peter Haskell (Blacksburg)

MSC: 58J22 19D55 46L87 26A16

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Ghomari, Tewfik; Maliki, Youssef

Struwe compactness results for a critical \(p\)-Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds. (English) Zbl 1519.58009

Turk. J. Math. 47, No. 4, 1191-1219 (2023).

Reviewer: Vladimir Vasilyev (Belgorod)

MSC: 58J05 53C20 46E35 35J62 35J75

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Rasouli, S. H.

On a minimization problem involving fractional Sobolev spaces on Nehari manifold. (English) Zbl 1524.46050

Afr. Mat. 34, No. 2, Paper No. 30, 12 p. (2023).

MSC: 46E35 58E30 47J30 58J05

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Campbell, Daniel; Kauranen, Aapo; Radici, Emanuela

Classification of strict limits of planar \(BV\) homeomorphisms. (English) Zbl 07683487

J. Funct. Anal. 285, No. 3, Article ID 109953, 30 p. (2023).

MSC: 46E35 30E10 58E20

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Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre

Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups. (English) Zbl 1514.58003

J. Funct. Anal. 285, No. 2, Article ID 109944, 48 p. (2023).

Reviewer: Savin Treanţă (Bucureşti)

MSC: 58A10 35R03 26D15 46E35

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Cazacu, Cristian; Flynn, Joshua; Lam, Nguyen

Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. (English) Zbl 1521.81120

Calc. Var. Partial Differ. Equ. 62, No. 4, Paper No. 118, 26 p. (2023).

MSC: 81S07 26D10 46E35 26D15 58A10 17B10

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Hiptmair, Ralf; Pauly, Dirk; Schulz, Erick

Traces for Hilbert complexes. (English) Zbl 1519.46021

J. Funct. Anal. 284, No. 10, Article ID 109905, 50 p. (2023).

MSC: 46E35 58A12 58J10 46N20 35J99

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Lord, Steven; McDonald, Edward; Sukochev, Fedor; Zanin, Dmitriy

Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. (English) Zbl 1523.47002

De Gruyter Studies in Mathematics 46, 2. Berlin: De Gruyter (ISBN 978-3-11-070000-8/hbk; 978-3-11-070017-6/ebook; 978-3-11-070318-4/set). xl, 471 p. (2023).

Reviewer: Mixalis Anoussis (Samos)

MSC: 47-02 46B20 46E30 46L51 46L85 47B06 47B10 47G10 47L20 58B34 58J42

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Mazowiecka, Katarzyna; Van Schaftingen, Jean

Quantitative characterization of traces of Sobolev maps. (English) Zbl 1507.58006

Commun. Contemp. Math. 25, No. 2, Article ID 2250003, 31 p. (2023).

MSC: 58D15 46E35 46T10 46T20 55S35

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Koski, Aleksis; Onninen, Jani

The Sobolev Jordan-Schönflies problem. (English) Zbl 1511.30006

Adv. Math. 413, Article ID 108795, 32 p. (2023).

Reviewer: Dmitri V. Prokhorov (Saratov)

MSC: 30C62 26B35 46E35 58E20

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Post, Olaf; Olivé, Xavier Ramos; Rose, Christian

Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions. (English) Zbl 1519.58015

J. Geom. Anal. 33, No. 2, Paper No. 70, 28 p. (2023).

Reviewer: Adela-Gabriela Mihai (Bucureşti)

MSC: 58J35 47B38 46E35 35P15 53C20

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Huang, Bingrong; Lester, Stephen

Quantum variance for dihedral Maass forms. (English) Zbl 1506.11068

Trans. Am. Math. Soc. 376, No. 1, 643-695 (2023).

MSC: 11F37 11F72 11M41 58J51

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Wang, Zhuang; Xu, Haiqing

Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains. (English) Zbl 1513.58011

Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 373-386 (2023).

MSC: 58E20 46E35 30C62

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Fedosova, Ksenia; Rowlett, Julie; Zhang, Genkai

Casimir energy of hyperbolic orbifolds with conical singularities. arXiv:2311.03331

Preprint, arXiv:2311.03331 [math.SP] (2023).

MSC: 58J50 33E99 11F72 11M36 58C40

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Lee, Chul-hee

Spectrum of the Laplacian on the Fricke-Macbeath surface. arXiv:2311.02632

Preprint, arXiv:2311.02632 [math.RT] (2023).

MSC: 11F72 30F35 58C40

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Aberqi, A.; Ouaziz, A.

Singular fractional double-phase problems with variable exponent via Morse’s theory. arXiv:2311.00402

Preprint, arXiv:2311.00402 [math.AP] (2023).

MSC: 35J60 58J05 35R11 35J75 35J60 46E35

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Bulanyi, Bohdan; Van Schaftingen, Jean

Singular extension of critical Sobolev mappings under an exponential weak-type estimate. arXiv:2309.12874

Preprint, arXiv:2309.12874 [math.AP] (2023).

MSC: 58D15 46E35

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Mohanta, Kaushik; Tyagi, Jagmohan

Improved Hardy inequalities on Riemannian Manifolds. arXiv:2308.10303

Preprint, arXiv:2308.10303 [math.AP] (2023).

MSC: 58J05 35A23 46E35

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Lee, Gihyun

Logarithmic Sobolev Inequalities of Fractional Order on Noncommutative Tori. arXiv:2305.19140

Preprint, arXiv:2305.19140 [math.OA] (2023).

MSC: 35A23 46E35 46L52 58B34

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Van Schaftingen, Jean

Lifting of fractional Sobolev mappings to noncompact covering space. arXiv:2301.07663

Preprint, arXiv:2301.07663 [math.AP] (2023).

MSC: 58D15 46E35

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Alaoui, My Driss Morchid; Khalil, Abdelouahd El; Touzani, Abdelfattah

Steklov problems for the \(p\)-Laplace operator involving \(L^q\)-norm. (English) Zbl 07836906

Moroccan J. Pure Appl. Anal. 8, No. 2, 228-243 (2022).

MSC: 35J66 58E05 46E35 58E05 35J92

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Brooks, Shimon

Eisenstein quasimodes and semiclassical behavior of expectation values. (English) Zbl 1525.11055

Ann. Henri Poincaré 23, No. 12, 4429-4448 (2022).

Reviewer: Marius Lemm (Cambridge)

MSC: 11F72 11F03 58J51 81Q20

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Zhang, Mengjie

Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. (English) Zbl 1509.46023

Chin. Ann. Math., Ser. B 43, No. 3, 425-442 (2022).

MSC: 46E35 58J05 58J32

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Guo, Chang-Yu; Huang, Manzi; Wang, Zhuang; Xu, Haiqing

\(p\)-harmonic mappings between metric spaces. (English) Zbl 1498.58013

Math. Z. 302, No. 3, 1797-1819 (2022).

MSC: 58E20 46E35 49Q10

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Bruno, Tommaso

Homogeneous algebras via heat kernel estimates. (English) Zbl 1507.46027

Trans. Am. Math. Soc. 375, No. 10, 6903-6946 (2022).

MSC: 46E36 58J35 43A85 46E35 46F10 22E25

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Baldi, Annalisa; Tesi, Maria Carla; Tripaldi, Francesca

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry. (English) Zbl 1500.58002

Adv. Nonlinear Stud. 22, 484-516 (2022).

Reviewer: Hirokazu Nishimura (Tsukuba)

MSC: 58A10 53C17 53D10 35R03 26D15 43A80 46E35

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Cazacu, Cristian; Flynn, Joshua; Nguyen Lam

Sharp second order uncertainty principles. (English) Zbl 1513.81089

J. Funct. Anal. 283, No. 10, Article ID 109659, 37 p. (2022).

MSC: 81S07 26D10 46E35 26D15 58A10

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Lin, Fang-Hua

Relaxed energies, defect measures, and minimal currents. (English) Zbl 1496.58004

Frank, Rupert L. (ed.) et al., The physics and mathematics of Elliott Lieb. The 90th anniversary. Volume II. Berlin: European Mathematical Society (EMS). 19-29 (2022).

Reviewer: Vladimir Balan (Bucureşti)

MSC: 58E20 46E35

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Kalleji, Morteza Koozehgar

Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity. (English) Zbl 1495.35128

Complex Var. Elliptic Equ. 67, No. 9, 2198-2225 (2022).

MSC: 35L72 35H10 35L20 35R09 58J32 46E35

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Shi, Guannan; Zhang, Ye

Qualitative analysis of very weak solutions to Dirac-harmonic equations. (English) Zbl 1506.58001

J. Inequal. Appl. 2022, Paper No. 83, 15 p. (2022).

MSC: 58A10 35J60 58A14 46E35 26D15

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Boulanger, Adrien

Orbital functions and heat kernels of Kleinian groups. (Fonctions orbitales et noyaux de la chaleur des groupes Kleiniens.) (English. French summary) Zbl 07559602

J. Éc. Polytech., Math. 9, 1069-1100 (2022).

MSC: 20F67 58J35 11F72 30F35 51M10

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Gušić, Dženan

Gallagherian PGT on some compact Riemannian manifolds of negative curvature. (English) Zbl 1490.11088

Bull. Malays. Math. Sci. Soc. (2) 45, No. 4, 1669-1687 (2022).

MSC: 11M36 11F72 58J50

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Kohr, Mirela; Nistor, Victor

Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces. (English) Zbl 1491.35418

Ann. Global Anal. Geom. 61, No. 4, 721-758 (2022).

MSC: 35R01 35J75 35G45 46E35 58J32

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Muratori, Matteo; Roncoroni, Alberto

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. (English) Zbl 1498.46046

Potential Anal. 57, No. 1, 129-154 (2022).

MSC: 46E35 26D10 35K10 46E30 58C40 58J35

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Fang, Yu; Zhang, Mengjie

Improved Trudinger-Moser inequality involving \(L^p\)-norm on a closed Riemann surface with isometric group actions. (English) Zbl 1497.46042

Int. J. Math. 33, No. 5, Article ID 2250038, 20 p. (2022).

MSC: 46E35 58J05

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Brzeźniak, Zdzisław; Gołdys, Ben; Ondreját, Martin; Rana, Nimit

Large deviations for (1 + 1)-dimensional stochastic geometric wave equation. (English) Zbl 1498.60202

J. Differ. Equations 325, 1-69 (2022).

Reviewer: Alexandra Rodkina (College Station)

MSC: 60H10 58D20 34G20 46E35 35R15 46E50

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Baldi, Annalisa; Franchi, Bruno; Pansu, Pierre

Poincaré and Sobolev inequalities for differential forms in Heisenberg groups and contact manifolds. (English) Zbl 1497.58001

J. Inst. Math. Jussieu 21, No. 3, 869-920 (2022).

Reviewer: Vagn Lundsgaard Hansen (Lyngby)

MSC: 58A10 35R03 53D10 26D15 43A80 46E35

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Wang, Yamin; Yang, Yunyan

Finding critical points of the Trudinger-Moser functional through the heat flow. (English) Zbl 1495.46026

Proc. Am. Math. Soc. 150, No. 6, 2475-2485 (2022).

MSC: 46E35 49J40 58J35

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Kottke, Chris; Rochon, Frédéric

Low energy limit for the resolvent of some fibered boundary operators. (English) Zbl 1489.58010

Commun. Math. Phys. 390, No. 1, 231-307 (2022).

Reviewer: M. Abdessadek Saib (Tebessa)

MSC: 58J40 46E35 47A53

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Yang, Jie

A weighted Trudinger-Moser inequality on a closed Riemann surface with a finite isometric group action. (English) Zbl 1483.58004

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 2, Paper No. 70, 18 p. (2022).

MSC: 58J05 58J32 30F10 46E35

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Gannot, Oran; Wrochna, Michał

Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition. (English) Zbl 1503.81024

J. Inst. Math. Jussieu 21, No. 1, 67-127 (2022).

MSC: 81Q05 81R20 83C30 81T20 15B34 58J47 46E35 35A18

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Bownik, Marcin; Dziedziul, Karol; Kamont, Anna

Parseval wavelet frames on Riemannian manifold. (English) Zbl 1484.42031

J. Geom. Anal. 32, No. 1, Paper No. 4, 43 p. (2022).

Reviewer: Ilya Krishtal (DeKalb)

MSC: 42C40 42C15 46E30 46E35 58C35

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Cianchi, Andrea; Korobkov, Mikhail V.; Kristensen, Jan

Distortion of Hausdorff measures under Orlicz–Sobolev maps. arXiv:2208.08152

Preprint, arXiv:2208.08152 [math.AP] (2022).

MSC: 46E35 58C25 26B35 46E30

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Bhakta, Mousomi; Ganguly, Debdip; Karmakar, Debabrata; Mazumdar, Saikat

Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows. arXiv:2207.11024

Preprint, arXiv:2207.11024 [math.AP] (2022).

MSC: 58J05 46E35 35A23 35J61

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Allen, Paul T.; Lee, John M.; Maxwell, David

Sobolev-class asymptotically hyperbolic manifolds and the Yamabe problem. arXiv:2206.12854

Preprint, arXiv:2206.12854 [math.DG] (2022).

MSC: 58J05 53C21 46E35

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Glockner, Helge

Birkhoff decompositions for loop groups with coefficient algebras. arXiv:2206.11711

Preprint, arXiv:2206.11711 [math.GR] (2022).

MSC: 22E67 22E65 26E15 26E20 46E25 46E35 46G20 46J10 58D15

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Marini, Ludovico; Pigola, Stefano; Veronelli, Giona

Gradient estimates under integral Ricci bounds. arXiv:2204.04002

Preprint, arXiv:2204.04002 [math.AP] (2022).

MSC: 53C21 35A23 58J05 35B45 46E35

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Guo, Changyu; Xiang, Changlin

Regularity of \(p\)-harmonic mappings into NPC spaces. (English) Zbl 1513.58007

Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 2, 633-645 (2021).

MSC: 58E15 46E35 53C43

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Baldare, Alexandre; Côme, Rémi; Lesch, Matthias; Nistor, Victor

Fredholm conditions and index for restrictions of invariant pseudodifferential operators to isotypical components. (English) Zbl 1483.58005

Münster J. Math. 14, No. 2, 403-443 (2021).

MSC: 58J40 46E35 47A53

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Shen, Shu

Analytic torsion and dynamical flow: a survey on the Fried conjecture. (English) Zbl 1484.58010

Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 247-299 (2021).

Reviewer: Luiz Hartmann (São Carlos)

MSC: 58J20 58J52 11F72 11M36 37C30 37C10

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Teo, Lee-Peng

Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces. (English) Zbl 1477.30036

SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021).

MSC: 30F30 11F72 11M36 58J52

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Mironescu, Petru; Van Schaftingen, Jean

Lifting in compact covering spaces for fractional Sobolev mappings. (English) Zbl 1486.46040

Anal. PDE 14, No. 6, 1851-1871 (2021).

MSC: 46E35 58D15

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Zhang, Mengjie

A Trudinger-Moser inequality with mean value zero on a compact Riemann surface with boundary. (English) Zbl 1484.46045

Math. Inequal. Appl. 24, No. 3, 775-791 (2021).

MSC: 46E35 58J05 58J32

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Kawakami, Tatsuki; Muratori, Matteo

Nonexistence of radial optimal functions for the Sobolev inequality on Cartan-Hadamard manifolds. (English) Zbl 1473.35013

Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 183-203 (2021).

MSC: 35A23 46E35 58J05

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Lim, Yongdo; Hiai, Fumio; Lawson, Jimmie

Nonhomogeneous Karcher equations with vector fields on positive definite matrices. (English) Zbl 1492.58003

Eur. J. Math. 7, No. 3, 1291-1328 (2021).

MSC: 58B20 47A64 47A56 15B57 15B48 26B25

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Mironescu, Petru; Van Schaftingen, Jean

Trace theory for Sobolev mappings into a manifold. (English. French summary) Zbl 1482.46099

Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 2, 281-299 (2021).

MSC: 46T10 46E35 58D15 00A27

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Avdispahić, Muharem

On von Koch theorem for \(\mathrm{PSL}(2,\mathbb{Z})\). (English) Zbl 1468.11182

Bull. Malays. Math. Sci. Soc. (2) 44, No. 4, 2139-2150 (2021).

MSC: 11M36 11F72 58J50

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Guo, Chang-Yu

Harmonic mappings between singular metric spaces. (English) Zbl 1469.58009

Ann. Global Anal. Geom. 60, No. 2, 355-399 (2021).

MSC: 58E20 46E35 53C23 31C25

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Gigli, Nicola; Tyulenev, Alexander

Korevaar-Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. (English) Zbl 1471.53077

Math. Z. 298, No. 3-4, 1221-1261 (2021).

MSC: 53E50 46E35 58E20 49J99 53D12

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Roidos, Nikolaos; Schrohe, Elmar; Seiler, Jörg

Bounded \(H_\infty\)-calculus for boundary value problems on manifolds with conical singularities. (English) Zbl 1476.58026

J. Differ. Equations 297, 370-408 (2021).

Reviewer: Şerban Costea (Piteşti)

MSC: 58J32 35J30 46E35

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Found 895 Documents (Results 1–100)

Introduction to the analysis on manifolds with conical singularities. (English) Zbl 07919533

A global Morse index theorem and applications to Jacobi fields on CMC surfaces. (English) Zbl 07916670

Spectral triples and Dixmier trace representations of Gibbs measures: theory and examples. (English) Zbl 07909999

Sharp Sobolev inequalities on noncompact Riemannian manifolds with \(\mathrm{Ric} \geq 0\) via optimal transport theory. (English) Zbl 07906098

Corrigendum to: “Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results”. (English) Zbl 07896321

Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. (English) Zbl 07896320

Blow-up analysis on line bundles over a compact Riemann surface with smooth boundary. (English) Zbl 07885747

On the way to Frölicher bornology. (English) Zbl 1543.58006

Nonlocal problems with local boundary conditions. I: Function spaces and variational principles. (English) Zbl 07879899

Noncommutative residues, equivariant traces, and trace expansions for an operator algebra on \(\mathbb{R}^n\). (English) Zbl 1540.58017

The cubic moment of Hecke-Maass cusp forms and moments of \(L\)-functions. (English) Zbl 07845327

A trace Trudinger-Moser inequality involving \(L^p\)-norm on a compact Riemann surface with boundary. (English) Zbl 07843766

Nonexistence of extremals for an improved Adimurthi-Druet inequality involving \(L^p\)-norm on a closed Riemann surface. (English) Zbl 07836670

On Gaussian interpolation inequalities. (Sur des inégalités d’interpolation Gaussiennes.) (English. French summary) Zbl 07816874

Some functional properties on Cartan-Hadamard manifolds of very negative curvature. (English) Zbl 1540.53063

Quasilinear Laplace equations and inequalities with fractional orders. (English) Zbl 1532.35489

Non-local equations and optimal Sobolev inequalities on compact manifolds. (English) Zbl 1527.35454

The elasticity complex: compact embeddings and regular decompositions. (English) Zbl 1541.35139

On a new parabolic Sobolev embedding map. (English) Zbl 07836912

Minimal extension for the \(\alpha\)-Manhattan norm. (English) Zbl 07828295

Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows. (English) Zbl 1530.35118

Bounded Poincaré operators for twisted and BGG complexes. (English. French summary) Zbl 07755451

Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds. (English) Zbl 1522.58012

Sharp reversed Hardy-Littlewood-Sobolev inequality with extension kernel. (English) Zbl 1520.42011

Quantitative estimates for fractional Sobolev mappings in rational homotopy groups. (English) Zbl 1530.55011

Best constant and mountain-pass solutions for a supercritical Hardy-Sobolev problem in the presence of symmetries. (English) Zbl 1522.58011

Bi-Sobolev extensions. (English) Zbl 1529.46027

Addendum to: “Weyl cocycles”. (English) Zbl 1526.81037

Exotic cyclic cohomology classes and Lipschitz algebras. (English) Zbl 1523.58021

Struwe compactness results for a critical \(p\)-Laplacian equation involving critical and subcritical Hardy potential on compact Riemannian manifolds. (English) Zbl 1519.58009

On a minimization problem involving fractional Sobolev spaces on Nehari manifold. (English) Zbl 1524.46050

Classification of strict limits of planar \(BV\) homeomorphisms. (English) Zbl 07683487

Cohomology of annuli, duality and \(L^\infty\)-differential forms on Heisenberg groups. (English) Zbl 1514.58003

Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. (English) Zbl 1521.81120

Traces for Hilbert complexes. (English) Zbl 1519.46021

Singular traces. Volume 2: Trace formulas. 2nd corrected and expanded edition. (English) Zbl 1523.47002

Quantitative characterization of traces of Sobolev maps. (English) Zbl 1507.58006

The Sobolev Jordan-Schönflies problem. (English) Zbl 1511.30006

Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions. (English) Zbl 1519.58015

Quantum variance for dihedral Maass forms. (English) Zbl 1506.11068

Improved regularity of harmonic diffeomorphic extensions on quasihyperbolic domains. (English) Zbl 1513.58011

Steklov problems for the \(p\)-Laplace operator involving \(L^q\)-norm. (English) Zbl 07836906

Eisenstein quasimodes and semiclassical behavior of expectation values. (English) Zbl 1525.11055

Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary. (English) Zbl 1509.46023

\(p\)-harmonic mappings between metric spaces. (English) Zbl 1498.58013

Homogeneous algebras via heat kernel estimates. (English) Zbl 1507.46027

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry. (English) Zbl 1500.58002

Sharp second order uncertainty principles. (English) Zbl 1513.81089

Relaxed energies, defect measures, and minimal currents. (English) Zbl 1496.58004

Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity. (English) Zbl 1495.35128

Qualitative analysis of very weak solutions to Dirac-harmonic equations. (English) Zbl 1506.58001

Orbital functions and heat kernels of Kleinian groups. (Fonctions orbitales et noyaux de la chaleur des groupes Kleiniens.) (English. French summary) Zbl 07559602

Gallagherian PGT on some compact Riemannian manifolds of negative curvature. (English) Zbl 1490.11088

Sobolev spaces and \(\nabla\)-differential operators on manifolds. I: Basic properties and weighted spaces. (English) Zbl 1491.35418

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. (English) Zbl 1498.46046