Multiple positive solutions of semilinear elliptic problems in exterior domains

DOI10.1155/2010/524862zbMath1207.35152OpenAlexW2098617272WikidataQ59253117 ScholiaQ59253117MaRDI QIDQ623663

Tsing-San Hsu, Huei-li Lin

Publication date: 8 February 2011

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225537

zbMATH Keywords

Dirichlet problempositive solutionsground state solutions(PS)-sequencesemilinear ellipitc equaitons

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Cites Work

• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• The existence of multiple positive solutions for a semilinear elliptic equation in \(\mathbb R^N\)
• Multiple solutions of semilinear elliptic equations in exterior domains
• Ekeland's variational principle and the mountain pass lemma
• Multiple entire solutions of a semilinear elliptic equation
• Nonsymmetric ground states of symmetric variational problems
• Multiple solutions for a neumann problem in an exterior domain
• Bifurcation for Dirichlet Problems Without Eigenvalues
• A Necessary and Sufficient Condition for Palais--Smale Conditions
• Multiple existence of sign changing solutions for semilinear elliptic problems on \(\mathbb{R}^N\)

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