Embedding theorems and boundary-value problems for cusp domains

DOI10.1090/S0002-9947-09-04971-XzbMath1198.46032arXiv0706.2772OpenAlexW2963075303MaRDI QIDQ3552096

M. Ju. Vasiltchik, Vladimir Gol'dshtein

Publication date: 13 April 2010

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

Full work available at URL: https://arxiv.org/abs/0706.2772

zbMATH Keywords

weighted Sobolev spacesembedding operatorsRobin boundary-value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (1)

Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary

Cites Work

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• Applications of change of variables operators for exact embedding theorems
• Elliptic partial differential equations of second order
• Solvability of the third boundary-value problem in a domain with a peak
• Linear and quasilinear elliptic equations
• Compactness of the embedding operators for rough domains
• Sobolev Embeddings for Generalized Ridged Domains
• Weakly Differentiable Functions

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