THE BEST SOBOLEV TRACE CONSTANT IN PERIODIC MEDIA FOR CRITICAL AND SUBCRITICAL EXPONENTS

DOI10.1017/S0017089509990048zbMath1183.35023MaRDI QIDQ3183185

Julián Fernández Bonder, Rafael Orive-Illera, Julio D. Rossi

Publication date: 19 October 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

homogenised best trace constantSteklov-like eigenvalue problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Critical exponents in context of PDEs (35B33) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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• Problèmes de Neumann non linéaires sur les variétés riemanniennes
• An introduction to \(\Gamma\)-convergence
• Symmetry properties for the extremals of the Sobolev trace embedding
• Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
• Positive solution for neumann problem with critical non linearity on boundary
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• ON THE EXISTENCE OF EXTREMALS FOR THE SOBOLEV TRACE EMBEDDING THEOREM WITH CRITICAL EXPONENT

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