Three positive solutions for nonlinear elliptic equations in finite strip with hole

DOI10.1016/j.jmaa.2004.07.015zbMath1129.35410OpenAlexW2029805347MaRDI QIDQ1766735

Tsung-fang Wu

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.07.015

zbMATH Keywords

Palais-SmaleMultiple solutionsNonlinear elliptic equations

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Four 2-nodal solutions for a semilinear elliptic equation in a finite strip with a hole ⋮ An evolutionary weighted $p$-Laplacian with Neumann boundary value condition in a perforated domain ⋮ Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities

Cites Work

• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Positive solutions of some nonlinear elliptic problems in exterior domains
• The effect of domain shape on the number of positive solutions of certain nonlinear equations
• Symmetry and related properties via the maximum principle
• Symmetry of positive solutions of semilinear elliptic equations in infinite strip domains
• Existence of solutions of semilinear elliptic problems on unbounded domains
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• On the variational principle
• Minimax theorems
• Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
• Dual variational methods in critical point theory and applications
• Existence of large positive solutions of some nonlinear elliptic $si:equations on singularly perturbed doamins
• A Palais-Smale approach to problems in Esteban-Lions domains with holes

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