On the compactness of embeddings of weighted Sobolev spaces on a domain with an irregular boundary.

zbMath1081.46503MaRDI QIDQ1432488

O. V. Besov

Publication date: 15 June 2004

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact embeddingSobolev embeddingirregular boundary

Mathematics Subject Classification ID

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

Related Items

Finite elements with mesh refinement for elastic wave propagation in polygons ⋮ Widths of Sobolev weight classes on a domain with cusp ⋮ Widths of weighted Sobolev classes on a John domain: strong singularity at a point ⋮ Estimate of the approximation of periodic functions by negative Cesàro means ⋮ Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights ⋮ Widths of weighted Sobolev classes on a John domain ⋮ Kolmogorov widths of weighted Sobolev classes on a domain for a special class of weights. II ⋮ Embedding theorem for weighted Sobolev classes with weights that are functions of the distance to some \(h\)-set