Imbedding theorems for Sobolev spaces on domains with peak and on Hölder domains

DOI10.1090/S1061-0022-07-00962-4zbMath1138.46023OpenAlexW2077259047MaRDI QIDQ5442124

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Publication date: 15 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-07-00962-4

zbMATH Keywords

Sobolev spacesimbedding theoremsirregular boundarydomain with peak

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (9)

Widths of Sobolev weight classes on a domain with cusp ⋮ Conditions for embeddings of Sobolev spaces on a domain with anisotropic peak ⋮ Integral representations and embeddings of spaces of functions of positive smoothness on a Hölder domain ⋮ Embeddings of spaces of functions of positive smoothness on a Hölder domain in Lebesgue spaces ⋮ Embedding of a weighted Sobolev space and properties of the domain ⋮ Embedding of a weighted Sobolev space and properties of the domain ⋮ Unnamed Item ⋮ On the numerical range of second-order elliptic operators with mixed boundary conditions in \(L^p\) ⋮ Embedding of Sobolev spaces and properties of the domain

Cites Work

• Proprietà di alcune classi di funzioni in più variabili
• Integral representation of functions an embeddings of Sobolev spaces on cuspidal domains
• On solvability of the Neumann problem for elliptic equations of high order
• Some counterexamples to the embedding theorems for Sobolev spaces
• Sobolev inequalities on sets with irregular boundaries
• Sobolev-Poincaré implies John
• Construction and decomposition of reflecting diffusions on Lipschitz domains with Hölder cusps
• Sobolev's embedding theorem for a domain with irregular boundary
• Formulae for high derivatives of composite functions
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