A note on multiple positive solutions for a nonlinear Schrödinger equation

DOI10.1007/s11766-002-0025-7zbMath1007.35092OpenAlexW2313237711MaRDI QIDQ1607512

Hai-Tao Yang

Publication date: 20 March 2003

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-002-0025-7

zbMATH Keywords

critical pointmultiple solutionsnumber of positive solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• On a class of nonlinear Schrödinger equations
• On the existence of multiple, single-peaked solutions for a semilinear Neumann problem
• Multiple positive solutions for a nonlinear Schrödinger equation
• On multiple positive solutions for a nonlinear elliptic problem in \(\mathbb{R}^N\)
• Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
• Existence and multiplicity results for some superlinear elliptic problems on R^N

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