Malchiodi, Andrea; Rupflin, Melanie; Sharp, Ben Łojasiewicz inequalities near simple bubble trees. (English) Zbl 07927428 Am. J. Math. 146, No. 5, 1361-1397 (2024). MSC: 58E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Fue; Zhao, Wei Absolutely continuous curves in Finsler-like spaces. (English) Zbl 07922715 Differ. Geom. Appl. 96, Article ID 102154, 43 p. (2024). MSC: 53C60 58B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Jie Weighted Alexandrov-Fenchel type inequalities for hypersurfaces in \(\mathbb{R}^n\). (English) Zbl 07902259 Bull. Lond. Math. Soc. 56, No. 8, 2634-2646 (2024). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Guan, Mei; Yin, Songting A new Laplacian comparison theorem and its applications on Finsler manifold. (English) Zbl 07878699 J. Math. Inequal. 18, No. 1, 207-217 (2024). MSC: 53C60 53B40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chen, Li; He, Yan A class of fully nonlinear equations on Riemannian manifolds with negative curvature. (English) Zbl 07877909 Calc. Var. Partial Differ. Equ. 63, No. 6, Paper No. 158, 17 p. (2024). MSC: 35J60 58J05 35B45 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Shihong The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior. (English) Zbl 07872180 Adv. Math. 450, Article ID 109761, 36 p. (2024). Reviewer: Tobias König (Frankfurt am Main) MSC: 53C20 53C21 45M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenjing; Huang, Xiaomeng Sign-changing bubble tower solutions for a Paneitz-type problem. (English) Zbl 1541.35183 Nonlinearity 37, No. 5, Article ID 055013, 39 p. (2024). MSC: 35J40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Li; He, Yan Fully nonlinear equations of Krylov type on Riemannian manifolds with totally geodesic boundary. (English) Zbl 1541.58018 Acta Math. Sin., Engl. Ser. 40, No. 5, 1293-1307 (2024). MSC: 58J32 58J60 53C18 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Sun-Yung Alice; Ge, Yuxin; Jin, Xiaoshang; Qing, Jie Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds. (English) Zbl 07839327 Adv. Nonlinear Stud. 24, No. 1, 247-278 (2024). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 53C18 53C25 58J60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chang, Huiting; Zeng, Fanqi Geometric inequalities for affine connections on Riemannian manifolds. (English) Zbl 1536.53041 Bull. Korean Math. Soc. 61, No. 2, 433-450 (2024). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53B05 58C40 × Cite Format Result Cite Review PDF Full Text: DOI
Fourti, Habib; Ghoudi, Rabeh Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem. (English) Zbl 1542.35169 NoDEA, Nonlinear Differ. Equ. Appl. 31, No. 3, Paper No. 34, 51 p. (2024). MSC: 35J61 35J25 35B33 35A01 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carlos, Romulo D.; Figueiredo, Giovany M. On an elliptic Kirchhoff-Boussinesq type problems with exponential growth. (English) Zbl 1536.35153 Math. Methods Appl. Sci. 47, No. 1, 397-408 (2024). MSC: 35J30 35J60 35J40 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Minlend, Ignace Aristide Unbounded periodic constant mean curvature graphs on calibrable Cheeger Serrin domains. (English) Zbl 1539.53048 Arch. Math. 122, No. 3, 319-329 (2024). MSC: 53C21 58J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xinying; Sheng, Weimin Dirichlet problem for Krylov type equation in conformal geometry. (English) Zbl 1533.35095 Calc. Var. Partial Differ. Equ. 63, No. 2, Paper No. 59, 26 p. (2024). MSC: 35J25 35J60 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Guofang; Weng, Liangjun; Xia, Chao Alexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary. (English) Zbl 1543.53088 Math. Ann. 388, No. 2, 2121-2154 (2024). Reviewer: John Urbas (Canberra) MSC: 53E10 53C21 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Li, Yanyan; Nguyen, Luc; Wang, Bo On the \(\sigma_\kappa \)-Nirenberg problem. (English) Zbl 1532.53065 Am. J. Math. 146, No. 1, 241-276 (2024). Reviewer: Vincenzo Vespri (Firenze) MSC: 53C21 58J60 53C18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Caiyun; Yin, Songting Eigenfunctions in Finsler Gaussian solitons. (English) Zbl 07919418 Open Math. 21, Article ID 20230167, 10 p. (2023). MSC: 53C60 35P15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hajiaghasi, Sakineh; Azami, Shahroud The lower bounds for the first eigenvalues of the \((p, q)\)-Laplacian on Finsler manifolds. (English) Zbl 07860974 Honam Math. J. 45, No. 1, 82-91 (2023). MSC: 53C60 53B40 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Blitz, Samuel; Gover, A. Rod; Waldron, Andrew Conformal fundamental forms and the asymptotically Poincaré-Einstein condition. (English) Zbl 1536.53079 Indiana Univ. Math. J. 72, No. 6, 2215-2284 (2023). MSC: 53C18 53A55 53C21 58J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ji, Zhengchao A class of inverse quotient curvature flow in the AdS-Schwarzschild manifold. (English) Zbl 1538.53112 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 6, 2553-2572 (2023). MSC: 53E10 × Cite Format Result Cite Review PDF Full Text: DOI
Abedin, Farhan; Kitagawa, Jun A perturbative approach to the parabolic optimal transport problem. (English) Zbl 1527.35028 SIAM J. Math. Anal. 55, No. 6, 6740-6763 (2023). MSC: 35B20 35K96 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duncan, Jonah A. J.; Nguyen, Luc Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry. (English) Zbl 1525.35065 Adv. Math. 432, Article ID 109263, 44 p. (2023). MSC: 35D40 35B65 35J15 35J60 53C20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lin, Fanghua; Wang, Changyou Isotropic-nematic phase transition and liquid crystal droplets. (English) Zbl 07748327 Commun. Pure Appl. Math. 76, No. 9, 1728-1792 (2023). MSC: 82-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yanyan; Luc Nguyen Existence and uniqueness of Green’s functions to nonlinear Yamabe problems. (English) Zbl 1532.53064 Commun. Pure Appl. Math. 76, No. 8, 1554-1607 (2023). Reviewer: Seunghyeok Kim (Seoul) MSC: 53C21 53C23 53C18 58J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwong, Kwok-Kun; Wei, Yong Geometric inequalities involving three quantities in warped product manifolds. (English) Zbl 1525.52003 Adv. Math. 430, Article ID 109213, 28 p. (2023). Reviewer: Vladimir Bobkov (Ufa) MSC: 52A39 53E10 53C21 51M16 52A40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wei, Yong; Zhou, Tailong New weighted geometric inequalities for hypersurfaces in space forms. (English) Zbl 1529.53086 Bull. Lond. Math. Soc. 55, No. 1, 263-281 (2023). Reviewer: Adara M. Blaga (Timişoara) MSC: 53E10 52A39 × Cite Format Result Cite Review PDF Full Text: DOI
Harrabi, Abdellaziz; Mtiri, Foued; Mtaouaa, Wafa Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth. (English) Zbl 1522.35205 Complex Var. Elliptic Equ. 68, No. 8, 1251-1263 (2023). MSC: 35J40 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Sangdon; Kim, Seunghyeok Coron’s problem for the critical Lane-Emden system. (English) Zbl 1522.35225 J. Funct. Anal. 285, No. 8, Article ID 110077, 52 p. (2023). Reviewer: Simone Secchi (Milano) MSC: 35J57 35B09 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yanyan; Lu, Han; Lu, Siyuan A Liouville theorem for Möbius invariant equations. (English) Zbl 1530.35091 Peking Math. J. 6, No. 2, 609-634 (2023). Reviewer: Antonio Vitolo (Fisciano) MSC: 35B53 35D40 35J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Juhl, Andreas Extrinsic Paneitz operators and \(Q\)-curvatures for hypersurfaces. (English) Zbl 1518.35285 Differ. Geom. Appl. 89, Article ID 102027, 88 p. (2023). MSC: 35J30 53B20 53B25 53C18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raulot, Simon Total mean curvature and first Dirac eigenvalue. (English) Zbl 1530.58016 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 029, 14 p. (2023). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 58J50 58C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Fanqi Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple with boundary. (English) Zbl 1515.53038 Mediterr. J. Math. 20, No. 3, Paper No. 123, 17 p. (2023). MSC: 53C21 53C24 × Cite Format Result Cite Review PDF Full Text: DOI
Deng, Shengbing; Li, Benniao Concentration on the Clifford torus for the critical problem in an annulus. (English) Zbl 1514.35221 J. Differ. Equations 364, 152-180 (2023). MSC: 35J91 35J25 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Fang; Zhou, Huihuang A note on the compactness of Poincaré-Einstein manifolds. (English) Zbl 1520.53041 Commun. Contemp. Math. 25, No. 5, Article ID 2250015, 35 p. (2023). Reviewer: Andreas Vollmer (Hamburg) MSC: 53C25 53C18 54D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Haizhong; Xu, Botong A class of weighted isoperimetric inequalities in hyperbolic space. (English) Zbl 1509.52007 Proc. Am. Math. Soc. 151, No. 5, 2155-2168 (2023). MSC: 52A40 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jungang; Lu, Guozhen; Wang, Jianxiong Potential characterizations of geodesic balls on hyperbolic spaces: a moving plane approach. (English) Zbl 1510.35190 J. Geom. Anal. 33, No. 4, Paper No. 134, 27 p. (2023). MSC: 35N25 43A80 42B37 22E46 33C90 × Cite Format Result Cite Review PDF Full Text: DOI
Chow, Bennett Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces. (English) Zbl 1509.53002 Adv. Nonlinear Stud. 23, Article ID 20220034, 22 p. (2023). MSC: 53-02 53E10 35K55 58J35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hu, Yingxiang; Li, Haizhong Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms. (English) Zbl 1516.53014 Adv. Math. 413, Article ID 108826, 31 p. (2023). Reviewer: Viktor Ohanyan (Erevan) MSC: 53A55 53C21 53C24 53C65 52A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Michelat, Alexis; Rivière, Tristan Pointwise expansion of degenerating immersions of finite total curvature. (English) Zbl 1505.30036 J. Geom. Anal. 33, No. 1, Paper No. 24, 91 p. (2023). MSC: 30F10 53A07 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Shah, Hemangi; Taha, Ebtsam H. Busemann functions in asymptotically harmonic Finsler manifolds. (English) Zbl 1539.53032 J. Math. Phys. Anal. Geom. 18, No. 4, 546-561 (2022). Reviewer: Patrick Eberlein (Chapel Hill) MSC: 53B40 53C60 53C22 58J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeng, Fanqi Some almost-Schur type inequalities and applications on sub-static manifolds. (English) Zbl 1539.53073 Electron. Res. Arch. 30, No. 8, 2860-2870 (2022). MSC: 53C40 83C99 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Lewin, Mathieu Coulomb and Riesz gases: the known and the unknown. (English) Zbl 1508.76092 J. Math. Phys. 63, No. 6, Article ID 061101, 77 p. (2022). MSC: 76N15 82B05 82B21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Sun-Yung A.; Ge, Yuxin On conformally compact Einstein manifolds. (English) Zbl 1508.53042 Rev. Unión Mat. Argent. 64, No. 1, 199-213 (2022). Reviewer: Andreas Vollmer (Hamburg) MSC: 53C18 53C25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Weng, Liangjun; Xia, Chao Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball. (English) Zbl 1512.53039 Trans. Am. Math. Soc. 375, No. 12, 8851-8883 (2022). Reviewer: Yong Wei (Hefei) MSC: 53C21 52A40 58C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scheuer, Julian Minkowski inequalities and constrained inverse curvature flows in warped spaces. (English) Zbl 1504.53103 Adv. Calc. Var. 15, No. 4, 735-748 (2022). MSC: 53E10 39B62 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kwong, Kwok-Kun; Wei, Yong; Wheeler, Glen; Wheeler, Valentina-Mira On an inverse curvature flow in two-dimensional space forms. (English) Zbl 1505.53100 Math. Ann. 384, No. 1-2, 285-308 (2022). MSC: 53E10 51M16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yin, Songting; Mo, Xiaohuan; Zhu, Ling A class of Finsler measure spaces of constant weighted Ricci curvature. (English) Zbl 1504.53085 Turk. J. Math. 46, No. 4, 1553-1564 (2022). Reviewer: Gauree Shanker (Bathinda) MSC: 53C60 37E20 37E30 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Li, YanYan; Lu, Han; Lu, Siyuan On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\). (English) Zbl 1539.53047 J. Funct. Anal. 283, No. 10, Article ID 109606, 50 p. (2022). Reviewer: Vincenzo Vespri (Firenze) MSC: 53C21 58J05 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yingxiang; Li, Haizhong Geometric inequalities for static convex domains in hyperbolic space. (English) Zbl 1511.53009 Trans. Am. Math. Soc. 375, No. 8, 5587-5615 (2022). MSC: 53A35 53C21 52A40 53C24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Lima, Levi Lopes; Girão, Frederico; Natário, José Extrinsic black hole uniqueness in pure Lovelock gravity. (English) Zbl 1505.53060 Bull. Braz. Math. Soc. (N.S.) 53, No. 3, 721-739 (2022). Reviewer: Julien Cortier (Montpellier) MSC: 53C24 53C21 53Z05 83C57 83D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Wenjing; Long, Wei; Yang, Jianfu Sign-changing bubble tower solutions for a critical fractional problem. (English) Zbl 1497.35212 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 223, Article ID 113054, 17 p. (2022). MSC: 35J61 35R11 35J20 × Cite Format Result Cite Review PDF Full Text: DOI
Kristály, Alexandru New features of the first eigenvalue on negatively curved spaces. (English) Zbl 1505.53054 Adv. Calc. Var. 15, No. 3, 475-495 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C21 35P15 58J50 53C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngô, Qu\^óc Anh; Ye, Dong Existence and non-existence results for the higher order Hardy-Hénon equations revisited. (English. French summary) Zbl 1491.35241 J. Math. Pures Appl. (9) 163, 265-298 (2022). MSC: 35J91 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yimin; Hu, Yingxiang; Li, Haizhong Geometric inequalities for free boundary hypersurfaces in a ball. (English) Zbl 1498.53053 Ann. Global Anal. Geom. 62, No. 1, 33-45 (2022). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C21 53C24 53C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fang, Hao; Wei, Wei A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs. (English) Zbl 1505.53052 Adv. Math. 402, Article ID 108365, 33 p. (2022). MSC: 53C21 53C18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scheuer, Julian; Wang, Guofang; Xia, Chao Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball. (English) Zbl 1494.53045 J. Differ. Geom. 120, No. 2, 345-373 (2022). MSC: 53C21 53C24 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link Link
Palmurella, Francesco; Rivière, Tristan The parametric approach to the Willmore flow. (English) Zbl 1503.53168 Adv. Math. 400, Article ID 108257, 48 p. (2022). Reviewer: Marek Galewski (Łódź) MSC: 53E10 53A05 58E15 35J35 35J48 35K41 35K91 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Agostiniani, Virginia; Fogagnolo, Mattia; Mazzieri, Lorenzo Minkowski inequalities via nonlinear potential theory. (English) Zbl 1498.35213 Arch. Ration. Mech. Anal. 244, No. 1, 51-85 (2022). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 35J25 35B44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Li, Haizhong; Xu, Botong; Zhang, Ruijia Asymptotic convergence for a class of anisotropic curvature flows. (English) Zbl 1500.53094 J. Funct. Anal. 282, No. 12, Article ID 109460, 34 p. (2022). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 53E10 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Xingwang; Ye, Jian Conformal vector fields and \(\sigma_k\)-scalar curvatures. (English) Zbl 1496.53047 Pac. J. Math. 316, No. 2, 453-473 (2022). MSC: 53C18 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Yingxiang; Li, Haizhong; Wei, Yong Locally constrained curvature flows and geometric inequalities in hyperbolic space. (English) Zbl 1495.53100 Math. Ann. 382, No. 3-4, 1425-1474 (2022). Reviewer: Yun Myung Oh (Berrien Springs) MSC: 53E10 53E99 53C40 52A39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jungang; Lu, Guozhen; Yang, Qiaohua Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions. (English) Zbl 1496.35211 Adv. Math. 399, Article ID 108259, 39 p. (2022). Reviewer: Mihai Mihăilescu (Craiova) MSC: 35J91 35J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Gang On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity. (English) Zbl 1498.53068 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 60, 39 p. (2022). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53C25 53C30 34B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cruz, F. Jr.; Freitas, A.; Santos, M. De Lellis-Topping inequalities on weighted manifolds with boundary. (English) Zbl 1491.53048 Result. Math. 77, No. 1, Paper No. 16, 14 p. (2022). Reviewer: James Hebda (St. Louis) MSC: 53C21 53A07 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Kristály, Alexandru; Shen, Zhongmin; Yuan, Lixia; Zhao, Wei Nonlinear spectrums of Finsler manifolds. (English) Zbl 1491.53026 Math. Z. 300, No. 1, 81-123 (2022). Reviewer: Gauree Shanker (Bathinda) MSC: 53B40 58C40 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Xinyue Gradient estimates for positive solutions of heat equations under Finsler-Ricci flow. (English) Zbl 1485.53091 J. Math. Anal. Appl. 508, No. 2, Article ID 125897, 17 p. (2022). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C60 53E20 58J35 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Songting; He, Qun The maximum diam theorem on Finsler manifolds. (English) Zbl 1484.53109 J. Geom. Anal. 31, No. 12, 12231-12249 (2021). Reviewer: Gauree Shanker (Bathinda) MSC: 53C60 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Scheuer, Julian The Minkowski inequality in de Sitter space. (English) Zbl 1480.53018 Pac. J. Math. 314, No. 2, 425-449 (2021). MSC: 53B25 53B30 53E10 39B62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
McKeown, Stephen E. Extrinsic curvature and conformal Gauss-Bonnet for four-manifolds with corner. (English) Zbl 1482.53045 Pac. J. Math. 314, No. 2, 411-424 (2021). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C20 53B25 58J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hernández-Santamaría, Víctor; Saldaña, Alberto Existence and convergence of solutions to fractional pure critical exponent problems. (English) Zbl 1476.35030 Adv. Nonlinear Stud. 21, No. 4, 827-854 (2021). MSC: 35B33 35B40 35R11 35J35 35J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Beomjun; Daskalopoulos, Panagiota Evolution of noncompact hypersurfaces by inverse mean curvature. (English) Zbl 1482.53118 Duke Math. J. 170, No. 12, 2755-2803 (2021). Reviewer: Friedrich Manhart (Wien) MSC: 53E10 35K55 53A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Fangcheng; Li, Guanghan; Wu, Chuanxi; Liu, Jiancheng Isoperimetric inequalities for eigenvalues by inverse mean curvature flow. (English) Zbl 1475.53102 J. Math. Anal. Appl. 504, No. 2, Article ID 125438, 16 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53E10 35K55 53C21 58J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duncan, Jonah A. J.; Nguyen, Luc Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains. (English) Zbl 1471.35065 Calc. Var. Partial Differ. Equ. 60, No. 5, Paper No. 177, 33 p. (2021). MSC: 35B45 35B65 35D35 35J15 35J60 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ge, Yuxin; Ye, Jian Regularity of optimal transport maps on locally nearly spherical manifolds. (Régularité de l’application du transport optimal sur les variétés riemanniennes localement proches de La sphère.) (English. French summary) Zbl 1471.49034 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 2, 353-409 (2021). MSC: 49Q22 35R01 53C21 49N60 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Yuguang; Zhu, Jintian Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3. (English) Zbl 1470.53079 Sci. China, Math. 64, No. 6, 1109-1126 (2021). MSC: 53E10 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrews, Ben; Chen, Xuzhong; Wei, Yong Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space. (English) Zbl 1482.53116 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2467-2509 (2021). Reviewer: Mohammed Benalili (Tilimsān) MSC: 53E10 53E99 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jin, Xiaoshang Finite boundary regularity for conformally compact Einstein manifolds of dimension 4. (English) Zbl 1465.32002 J. Geom. Anal. 31, No. 4, 4004-4023 (2021). MSC: 32Q20 53C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yin, Songting; Mo, Xiaohuan Some results on complete Finsler measure spaces. (English) Zbl 1459.35008 J. Math. Anal. Appl. 497, No. 1, Article ID 124846, 17 p. (2021). MSC: 35A23 35P05 35R01 × Cite Format Result Cite Review PDF Full Text: DOI
Pistoia, Angela; Vaira, Giusi Nondegeneracy of the bubble for the critical \(p\)-Laplace equation. (English) Zbl 1464.35115 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 1, 151-168 (2021). Reviewer: Laurent Véron (Tours) MSC: 35J60 35B33 35J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Case, Jeffrey S. The Frank-Lieb approach to sharp Sobolev inequalities. (English) Zbl 1470.46055 Commun. Contemp. Math. 23, No. 3, Article ID 2050015, 16 p. (2021). MSC: 46E35 53C18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Girão, Frederico; Pinheiro, Diego; Pinheiro, Neilha M.; Rodrigues, Diego Weighted Alexandrov-Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang, and Wu. (English) Zbl 1479.52007 Proc. Am. Math. Soc. 149, No. 1, 369-382 (2021). Reviewer: Zsolt Lángi (Budapest) MSC: 52A20 53E10 53A35 52A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deng, Shengbing; Musso, Monica High energy sign-changing solutions for Coron’s problem. (English) Zbl 1458.35198 J. Differ. Equations 271, 916-962 (2021). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35J91 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Bing Ye Eigenvalue comparison theorems for Finsler manifolds with integral Ricci curvature bound. (English) Zbl 1476.53096 Ann. Pol. Math. 125, No. 3, 273-284 (2020). MSC: 53C60 58J60 58J50 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Anastasiou, Giorgos; Miskovic, Olivera; Olea, Rodrigo; Papadimitriou, Ioannis Counterterms, Kounterterms, and the variational problem in AdS gravity. (English) Zbl 1454.83007 J. High Energy Phys. 2020, No. 8, Paper No. 61, 52 p. (2020). MSC: 83C05 83C45 81T17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Jin-Hua; Mao, Jing; Tu, Qiang; Wu, Di A class of inverse curvature flows in \(\mathbb{R}^{n+1}\). II. (English) Zbl 1456.53076 J. Korean Math. Soc. 57, No. 5, 1299-1322 (2020). MSC: 53E10 53A07 35K96 × Cite Format Result Cite Review PDF Full Text: DOI
Ho, Pak Tung The Gauss-Bonnet-Chern mass under geometric flows. (English) Zbl 1454.53083 J. Math. Phys. 61, No. 11, 112501, 9 p. (2020). MSC: 53E20 53C20 53C24 × Cite Format Result Cite Review PDF Full Text: DOI
Andrews, Ben; Hu, Yingxiang; Li, Haizhong Harmonic mean curvature flow and geometric inequalities. (English) Zbl 1456.53075 Adv. Math. 375, Article ID 107393, 28 p. (2020). MSC: 53E10 53C43 53A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Sun-Yung A.; Ge, Yuxin; Qing, Jie Compactness of conformally compact Einstein 4-manifolds. II. (English) Zbl 1447.53043 Adv. Math. 373, Article ID 107325, 33 p. (2020). MSC: 53C25 53C18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tahri, Kamel Multiple solutions to polyharmonic elliptic problem involving GJMS operator on compact manifolds. (English) Zbl 1445.35151 Afr. Mat. 31, No. 3-4, 437-454 (2020). MSC: 35J30 31B30 58J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ngô, Quốc Anh; Zhang, Hong Prescribed \(Q\)-curvature flow on closed manifolds of even dimension. (English) Zbl 1447.53082 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 121, 59 p. (2020). Reviewer: Gabjin Yun (Yongin) MSC: 53E40 35J30 53C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xia, Qiaoling Geometric and functional inequalities on Finsler manifolds. (English) Zbl 1440.53081 J. Geom. Anal. 30, No. 3, 3099-3148 (2020). MSC: 53C60 58C40 53C21 × Cite Format Result Cite Review PDF Full Text: DOI
Petrache, Mircea; Serfaty, Sylvia Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture. (English) Zbl 1439.52025 Proc. Am. Math. Soc. 148, No. 7, 3047-3057 (2020). MSC: 52C35 52C99 82C05 82C22 11H06 11H31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Girão, Frederico; Rodrigues, Diego Weighted geometric inequalities for hypersurfaces in sub-static manifolds. (English) Zbl 1443.52005 Bull. Lond. Math. Soc. 52, No. 1, 121-136 (2020). Reviewer: Niufa Fang (Chongqing) MSC: 52A40 52A20 52A38 53E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arora, R.; Giacomoni, J.; Mukherjee, T.; Sreenadh, K. Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights. (English) Zbl 1437.35687 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111779, 24 p. (2020). Reviewer: Giovany Malcher Figueiredo (Brasília) MSC: 35R10 35R09 35J60 35A15 35J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Dong Higher-order Minkowski formula in complex space forms. (English) Zbl 1475.53061 Ann. Global Anal. Geom. 57, No. 3, 401-414 (2020). Reviewer: Hang Chen (Xi’an) MSC: 53C40 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Pistoia, Angela; Soave, Nicola; Tavares, Hugo A fountain of positive bubbles on a Coron’s problem for a competitive weakly coupled gradient system. (English. French summary) Zbl 1437.35026 J. Math. Pures Appl. (9) 135, 159-198 (2020). Reviewer: Zhijie Chen (Beijing) MSC: 35B25 35B09 35J57 35B44 35B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhongyuan Bubble tower phenomena for an almost critical Hénon type problem. (English) Zbl 1437.35393 Appl. Anal. 99, No. 4, 636-657 (2020). MSC: 35J91 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Chang, Sun-Yung A.; Gursky, Matthew; Zhang, Siyi A conformally invariant gap theorem characterizing \(\mathbb{CP}^2\) via the Ricci flow. (English) Zbl 1431.53035 Math. Z. 294, No. 1-2, 721-746 (2020). MSC: 53C20 53E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Li; Mao, Jing; Tu, Qiang; Wu, Di Asymptotic convergence for a class of inverse mean curvature flows in \(\mathbb{R}^{n+1} \). (English) Zbl 1508.53013 Proc. Am. Math. Soc. 148, No. 1, 379-392 (2020). MSC: 53A07 53E10 × Cite Format Result Cite Review PDF Full Text: DOI