Weighted Sobolev-type embedding theorems for functions with symmetries

DOI10.1090/S1061-0022-06-00943-5zbMath1126.46022MaRDI QIDQ5297970

Sergei Ivanov, Alexander I. Nazarov

Publication date: 16 July 2007

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

zbMATH Keywords

Sobolev embeddingsRiemannian manifoldweighted spacesdiscrete orbitsfunctions with symmetries

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (5)

Sobolev and isoperimetric inequalities with monomial weights ⋮ Multiplicity of positive solutions for the generalized Hénon equation with fractional Laplacian ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ The Neumann problem for the generalized Hénon equation ⋮ Multiple solutions to weakly coupled supercritical elliptic systems

Cites Work

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• Existence of solitary waves in higher dimensions
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• On Automorphisms of A Kählerian Structure
• Multiplicity of Solutions to a Boundary-Value Problem with Nonlinear Neumann Condition
• Approximation Numbers and Entropy Numbers of Embeddings of Fractional Besov-sobolev Spaces in Orlicz Spaces
• Multiple solutions of a critical polyharmonic equation

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