Multiple solutions for some Schrödinger equations with convex and critical nonlinearities in \(\mathbb R^N\)

DOI10.1016/j.jmaa.2007.12.009zbMath1138.35410OpenAlexW2037331520MaRDI QIDQ2481841

Fei-Zhi Wang

Publication date: 15 April 2008

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.2007.12.009

zbMATH Keywords

Schrödinger equationlinking theorem(\(\nabla\))-theoremorthogonalization techniqueconvex and critical nonlinearities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Unnamed Item ⋮ Existence of three nontrivial solutions for a class of fourth-order elliptic equations ⋮ Existence and multiplicity results for the fractional Laplacian in bounded domains ⋮ Existence of three nontrivial solutions for semilinear elliptic equations on \(\mathbb{R}^N\) ⋮ Unnamed Item

Cites Work

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• Multiplicity of solutions for semilinear variational inequalities via linking and \(\nabla\)-theorems
• On a semilinear Schrödinger equation with critical Sobolev exponent
• Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation

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