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Compactness of the embedding operators for rough domains

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Publication:2711485
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DOI10.7153/mia-04-10zbMath0976.46022arXivmath-ph/0008012OpenAlexW2963466542MaRDI QIDQ2711485

Vladimir Gol'dshtein, Alexander G. Ramm

Publication date: 17 December 2001

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0008012


zbMATH Keywords

Sobolev spaceembedding theoremquasiconformal mappingrough domain


Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)


Related Items (5)

Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology ⋮ Embedding theorems and boundary-value problems for cusp domains ⋮ Weighted Sobolev spaces and embedding theorems ⋮ Spectral stability of the Neumann Laplacian.




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