Nonexistence of Radial Optimal Functions for the Sobolev Inequality on Cartan-Hadamard Manifolds
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Publication:5153541
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
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)
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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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