Extension Theorems on Weighted Sobolev Spaces and Some Applications

DOI10.4153/CJM-2006-021-0zbMath1110.46019MaRDI QIDQ5480068

Seng-Kee Chua

Publication date: 25 July 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesdoubling weightsPoincaré inequalitiesextendability of differentiable functions\((\epsilon, \delta)\) domain\((\epsilon, \infty)\) domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces ⋮ Existence of weak solutions to degenerate \(p\)-Laplacian equations and integral formulas ⋮ Poincaré's inequality and Sobolev spaces with monomial weights ⋮ Self-improving Poincaré-Sobolev type functionals in product spaces ⋮ Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems ⋮ Boundedness and regularity of solutions of degenerate elliptic partial differential equations

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