Asymptotics of Sobolev embeddings and singular perturbations for the 𝑝-Laplacian

DOI10.1090/S0002-9939-02-06535-8zbMath0996.35016OpenAlexW2138566295MaRDI QIDQ4536056

César V. Flores, Manuel A. del Pino

Publication date: 17 June 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06535-8

zbMATH Keywords

Euler-Lagrange equationstrong maximum principleconcentration-compactness argumentminimizer of the Raleigh quotient

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• C1 + α local regularity of weak 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

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