A Palais-Smale approach to problems in Esteban-Lions domains with holes

DOI10.1090/S0002-9947-00-02456-9zbMath0951.35043MaRDI QIDQ4485736

Hwai-Chiuan Wang

Publication date: 18 June 2000

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

zbMATH Keywords

higher energy solutionsasymptotic behaviour of solutionsPalais-Smale sequencesunbounded proper domains

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Multiplicity of single-bump solutions for semilinear elliptic equations in multi-bump domains ⋮ Three positive solutions of semilinear elliptic equations in the half space with a hole ⋮ Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole ⋮ Three positive solutions of nonhomogeneous semilinear elliptic equations ⋮ Three positive solutions of semilinear elliptic equations in exterior cylinder domains ⋮ Four positive solutions of semilinear elliptic equations in exterior domains ⋮ Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. ⋮ Three positive solutions for nonlinear elliptic equations in finite strip with hole

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
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• The concentration-compactness principle in the calculus of variations. The limit case. I
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• A perturbation result on positive entire solutions of a semilinear elliptic equation
• Remarks on the Schrödinger operator with singular complex potentials
• Existence of solutions of semilinear elliptic problems on unbounded domains
• Approximate controllability of a hydro-elastic coupled system
• Nonconvex minimization problems
• Remarks on finding critical points
• A perturbation result of semilinear elliptic equations in exterior strip domains
• Existence and non-existence results for semilinear elliptic problems in unbounded domains
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