Nonexistence of Radial Optimal Functions for the Sobolev Inequality on Cartan-Hadamard Manifolds

DOI10.1007/978-3-030-73363-6_9zbMath1473.35013arXiv2003.00531OpenAlexW3008456842MaRDI QIDQ5153541

Matteo Muratori, Tatsuki Kawakami

Publication date: 30 September 2021

Published in: Geometric Properties for Parabolic and Elliptic PDE's (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00531

zbMATH Keywords

radial functionsoptimal constantsCartan-Hadamard conjecture

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Some rigidity results for Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds ⋮ Some functional properties on Cartan-Hadamard manifolds of very negative curvature

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