A compactness lemma

DOI10.1016/0362-546X(83)90091-3zbMath0512.46035OpenAlexW2001506670WikidataQ124823080 ScholiaQ124823080MaRDI QIDQ4751208

Pierre-Louis Lions, Maria J. Esteban

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90091-3

zbMATH Keywords

Sobolev spacesSobolev exponentcompact imbeddingsymmetry of domainspaces of functions with spherical symmetry with respect to a group of variables

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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Cites Work

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• Minimization problems in \(L^1(\mathbb{R}^3)\)
• Existence of solitary waves in higher dimensions
• A general rearrangement inequality for multiple integrals
• Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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