Least energy solutions for elliptic equations in unbounded domains

DOI10.1017/S0308210500030687zbMath0849.35037OpenAlexW2074166334MaRDI QIDQ4879055

Patricio L. Felmer, Manuel A. del Pino

Publication date: 7 November 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030687

zbMATH Keywords

approximationsemilinear elliptic equationMountain Pass Lemma

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Existence of solutions for minimax problems (49J35) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• On a class of nonlinear Schrödinger equations
• Existence of solitary waves in higher dimensions
• On the existence of positive entire solutions of a semilinear elliptic equation
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• Existence and non-existence results for semilinear elliptic problems in unbounded domains