Bound States with Clustered Peaks for Nonlinear Schrödinger Equations with Compactly Supported Potentials

DOI10.1515/ANS-2014-0213zbMath1301.35148OpenAlexW2518630593MaRDI QIDQ2923148

Shuangjie Peng, Huirong Pi, Yinbin Deng

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0213

zbMATH Keywords

Schrödinger equationsbound statescompact support

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Compactness and existence results in weighted Sobolev spaces of radial functions. II: Existence ⋮ Existence and concentration results for the general Kirchhoff-type equations ⋮ Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

Cites Work

• Bound state solutions for a class of nonlinear Schrödinger equations
• Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Local mountain passes for semilinear elliptic problems in unbounded domains
• On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
• On Positive Multipeak Solutions of a Nonlinear Elliptic Problem
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

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