A degenerate Sobolev inequality for a large open set in a homogeneous space

DOI10.1090/S0002-9947-09-04809-0zbMath1190.35010MaRDI QIDQ5189147

Scott Rodney

Publication date: 8 March 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

global Sobolev inequalitylocal Sobolev inequality

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items

Harnack's inequality and applications of quasilinear degenerate elliptic equations with rough and singular coefficients ⋮ Global Sobolev inequalities and degenerate \(p\)-Laplacian equations ⋮ Embedding and compact embedding for weighted and abstract Sobolev spaces ⋮ Maximum principles for weak solutions of degenerate elliptic equations with a uniformly elliptic direction ⋮ Existence and spectral theory for weak solutions of Neumann and Dirichlet problems for linear degenerate elliptic operators with rough coefficients

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