Transverse measures and best Lipschitz and least gradient maps. (English) Zbl 07902275
Reviewer: Athanase Papadopoulos (Strasbourg)
Found 76 Documents (Results 1–76)
Near extensions and alignment of data in \(R^n\). Whitney extensions of near isometries, shortest paths, equidistribution, clustering and non-rigid alignment of data in Euclidean space. (English) Zbl 07787146
Hoboken, NJ: John Wiley & Sons (ISBN 978-1-394-19677-7/hbk; 978-1-394-19681-4/ebook). xx, 164 p. (2023).
MSC:
68-02
42-02
41-02
49-02
60-02
42B35
30H35
30E10
14Q15
53A45
58Z05
68P01
42B37
49J35
49J30
49J10
49J21
46-11
57Z25
68-11
68T09
62G05
41A05
62H30
46T20
26B05
68T45
41A50
15A72
05C38
33D50
58C25
65D18
68U10
94C30
68Q25
11K38
30E05
26E10
68Q17
Diametrically relatively nonexpansive mappings and a characterization of proximal normal structure. (English) Zbl 1533.47048
Reviewer: Andrzej Wiśnicki (Kraków)
Some \(L^p\)-Hardy and \(L^p\)-Rellich type inequalities with remainder terms. (English) Zbl 1503.26032
Corrigendum to: “Sharp \(L^p\) Hardy type and uncertainty principle inequalities on the sphere”. (English) Zbl 1479.26015
Convex analysis in normed spaces and metric projections onto convex bodies. (English) Zbl 1490.52007
Reviewer: T. D. Narang (Amritsar)
Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds. (English) Zbl 1482.46040
Hardy type inequalities on closed manifolds via Ricci curvature. (English) Zbl 1478.53075
Reviewer: Bernhard Hanke (Augsburg)
Hardy inequalities with best constants on Finsler metric measure manifolds. (English) Zbl 1462.53064
Reviewer: V. K. Chaubey (Gorakhpur)
Mappings of generalized condensing type in metric spaces with Busemann convex structure. (English) Zbl 1447.53063
Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries. (English) Zbl 1442.53031
Reviewer: Georges Habib (Fanar)
Optimal \(L^p\) Hardy-Rellich type inequalities on the sphere. (English) Zbl 1452.26014
Reviewer: Petr Gurka (Praha)
Pointwise cyclic relatively nonexpansive mappings in Busemann convex spaces. (English) Zbl 1473.54051
Sharp \(L^p \) Hardy type and uncertainty principle inequalities on the sphere. (English) Zbl 1435.26012
J. Math. Inequal. 13, No. 4, 1011-1022 (2019); corrigendum ibid. 15, No. 4, 1597-1600 (2021).
Sobolev-type inequalities and complete Riemannian manifolds with nonnegative Ricci curvature. (English) Zbl 1432.53055
On the best constant in a Wente-type inequality for the fractional Laplace operator. (English) Zbl 1335.35280
Approximation problems in the Riemannian matric on positive definite metrices. (English) Zbl 1297.15036
Best approximation on semi-algebraic sets and k-border rank approximation of symmetric tensors. arXiv:1311.1561
Preprint, arXiv:1311.1561 [math.AG] (2013).
Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries. (English) Zbl 1260.53074
Withdrawn: Spectra of symmetric tensors and \(m\)-root Finsler models. (English) Zbl 1236.15022
Linear Algebra Appl. 436, No. 5, 1061-1071 (2012); erratum ibid. 437, No. 4, 1182 (2012).
Morse landscapes of Riemannian functionals and related problems. (English) Zbl 1230.58010
Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 862-881 (2011).
Sharp Nash inequalities on manifolds with boundary in the presence of symmetries. (English) Zbl 1201.53048
The continuity of the second best constant for Sobolev inequalities on the vector valued maps. (English) Zbl 1240.46065
On the geometric dependence of Riemannian Sobolev best constants. (English) Zbl 1201.32012
Reviewer: Vasile Oproiu (Iaşi)
Optimal constants in the exceptional case of Sobolev inequalities on Riemannian manifolds. (English) Zbl 1138.46021
On the continuity of the second Sobolev best constant. (English) Zbl 1136.53033
Reviewer: Bülent Ünal (Ankara)
Best possible maximum principles for fully nonlinear elliptic partial differential equations. (English) Zbl 1236.35015
From best constants to critical functions. (English) Zbl 1080.53029
Reviewer: Dumitru Motreanu (Perpignan)
Critical functions and optimal Sobolev inequalities. (English) Zbl 1076.58024
Reviewer: Thomas J. Bartsch (Gießen)
Best approximation in Riemannian geodesic submanifolds of positive definite matrices. (English) Zbl 1067.15020
Reviewer: Grosio Stanilov (Sofia)
Optimum quantization and its applications. (English) Zbl 1062.94012
Reviewer: Bo’az Klartag (Princeton)
The embedding \(W^{n,1}\) into \(C_0\) on compact Riemannian manifolds. (English) Zbl 1040.53049
Reviewer: Mircea Craioveanu (Timişoara)
Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries. (English) Zbl 1035.46023
Reviewer: Neculai Papaghiuc (Iaşi)
Statistics on special manifolds. (English) Zbl 1026.62051
Lecture Notes in Statistics. 174. New York, NY: Springer. xxvi, 399 p. (2003).
Reviewer: Serguey M.Pokas (Odessa)
Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds. (English) Zbl 1044.58031
Reviewer: Christian Bär (Potsdam)
Optimal quantization. (Optimale Quantisierung.) (German) Zbl 1032.52001
Reviewer: Monika Ludwig (Wien)
Best constant for trace Nash inequality. (English) Zbl 1007.46035
Reviewer: Emmanuel Russ (Marseille)
A method for accurate computation of the rotation and the twist numbers of invariant circles. (English) Zbl 1006.37029
Reviewer: Raul Ibañez (Bilbao)
Nonlinear analysis on manifolds: Sobolev spaces and inequalities. (English) Zbl 0981.58006
Courant Lecture Notes in Mathematics. 5. Providence, RI: American Mathematical Society (AMS). New York, NY: Courant Institute of Mathematical Sciences, New York Univ. xii, 290 p. (2000).
Reviewer: Andrew Bucki (Oklahoma City)
The best constants problem in Sobolev inequalities. (English) Zbl 0934.53028
Reviewer: Anton Deitmar (Heidelberg)
Chebyshev systems and zeros of a function on a convex curve. (English. Russian original) Zbl 0971.52002
Proc. Steklov Inst. Math. 221, 236-246 (1998); translation from Tr. Mat. Inst. Steklova 221, 247-256 (1998).
Reviewer: Stanislaw Janeczko (Warszawa)
Best constants and optimal Sobolev inequalities on compact Riemannian manifolds. (Meilleures constantes et inégalités de Sobolev optimales sur les variétés Riemanniennes compactes.) (French) Zbl 0971.58021
Séminaire de théorie spectrale et géométrie. Année 1997-1998. St. Martin D’Hères: Université de Grenoble I, Institut Fourier, Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 16, 175-210 (1998).
Reviewer: David L.Finn (MR 99m:53077)
Best constants in Sobolev inequalities for compact manifolds of nonpositive curvature. (English. Abridged French version) Zbl 0908.53021
Best constants in Sobolev inequalities. (English. Abridged French version) Zbl 0908.53020
Extremal functions for an optimal Sobolev inequality in the conformal class of the sphere. (Fonctions extrémales pour une inégalité de Sobolev optimale dans la classe conforme de la sphère.) (French) Zbl 0914.53026
Reviewer: Thierry Aubin (Paris)
An improved Moser-Aubin-Onofri inequality for axially symmetric functions on \(S^2\). (English) Zbl 0905.53026
Reviewer: T.Okubo (Victoria)
Approximations on compact symmetric spaces of rank 1. (English. Russian original) Zbl 0891.41013
Sb. Math. 188, No. 5, 753-769 (1997); translation from Mat. Sb. 188, No. 5, 113-130 (1997).
Reviewer: C.Badea (Villeneuve d’Ascq)
The length of curvature tensor for Riemannian manifold with parallel Ricci curvature. (Chinese. English summary) Zbl 0873.53027
Reviewer: Wang Changping (Beijing)
MSC:
53C20
Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius. (English) Zbl 0863.53031
Reviewer: T.Aubin (Paris)
MSC:
53C21
Best constants in the Sobolev imbedding theorem. (Meilleures constantes dans le théorème d’inclusion de Sobolev.) (French) Zbl 0849.53035
Reviewer: T.Aubin (Paris)
MSC:
53C21
Chebyshev sets on manifolds. (Russian) Zbl 1076.53508
The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. (English) Zbl 0839.53030
Reviewer: T.Aubin (Paris)
A characterization of Chebyshev curves in \(R^ n\). (English) Zbl 0857.53001
Reviewer: Otto Röschel (Graz)
Problems of best constants in Sobolev inequalities. - The program started by Aubin, Federer, Fleming, Miranda, Rishel, Rosen, and Talenti. (Problèmes de meilleures constantes dans les inégalités de Sobolev. - Le programme initié par Aubin, Federer, Fleming, Miranda, Rishel, Rosen, et Talenti.) (French) Zbl 0840.53030
Brouzet, R. (ed.), Séminaire Gaston Darboux de géométrie et topologie differentielle 1994-1995. Montpellier: Université Montpellier II Sciences et Techniques du Languedoc, 21-30 (1995).
Reviewer: T.Aubin (Paris)
Projections on complete, finite-dimensional Riemannian manifolds. (English) Zbl 0897.53035
Reviewer: D.Motreanu (Iaşi)
MSC:
53C22
Asymptotic estimates for best and stepwise approximation of convex bodies. II. (English) Zbl 0788.41020
Concerning a type of Sobolev inequality on the sphere. (English) Zbl 0735.53029
Reviewer: S.Kawai (Saga)
MSC:
53C20
Meilleures constantes dans le théorème d’inclusion de Sobolev et multiplicité pour le problème de Nirenberg. (Best constants in the Sobolev imbedding theorem and multiplicity for the Nirenberg problem). (French) Zbl 0709.53028
MSC:
53C20
A Trudinger inequality on surfaces with conical singularities. (English) Zbl 0697.53009
Reviewer: R.Sulanke
Best continuity at the boundary for solutions of the minimal surface equation. (English) Zbl 0599.49029
Geometry and partial differential equations, Miniconf. Canberra/Aust. 1985, Proc. Cent. Math. Anal. Aust. Natl. Univ. 10, 250-255 (1986).
Best constants in the Sobolev imbedding theorem. The Yamabe problem. (English) Zbl 0483.53041
Semin. differential geometry, Ann. Math. Stud. 102, 173-184 (1982).
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