Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains

DOI10.1007/978-3-319-04214-5_1zbMath1329.46028OpenAlexW36041622MaRDI QIDQ5261428

Everaldo S. Medeiros, João Marcos Bezerra do Ó, Emerson A. M. Abreu

Publication date: 3 July 2015

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04214-5_1

zbMATH Keywords

best constantSobolev trace embeddingasymptotic behavior of extremals

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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• ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
• Boundary regularity for solutions of degenerate elliptic equations
• On the shape of least‐energy solutions to a semilinear Neumann problem
• Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
• On a neumann problem with critical exponent and critical nonlinearity on the boundary

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