Multiplicity of positive solutions for a semilinear elliptic equation in \(\mathbb R_+^N\) with nonlinear boundary condition

DOI10.3934/CPAA.2010.9.1675zbMath1205.35104OpenAlexW2331359081MaRDI QIDQ618982

Tsung-fang Wu

Publication date: 17 January 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2010.9.1675

zbMATH Keywords

nonlinear boundary conditionmultiple positive solutionssign-changing weight

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Existence and multiplicity of positive solutions for a class of nonlinear boundary value problems ⋮ Positive solutions with single and multi-peak for semilinear elliptic equations with nonlinear boundary condition in the half-space ⋮ The Laplace equation in the half-space involving nonlinearities without the Ambrosetti and Rabinowitz condition

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