A POSITIVE SOLUTION FOR A NONLOCAL SCHRÖDINGER EQUATION

DOI10.1017/S0004972714000501zbMath1304.35660arXiv1404.2031OpenAlexW2121622949MaRDI QIDQ2933694

Gao Sheng Zhu, Yong-Chao Zhang

Publication date: 5 December 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2031

zbMATH Keywords

mountain pass theorempositive solutionnonlocal Schrödinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

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Cites Work

• Standing waves with a critical frequency for nonlinear Schrödinger equations
• Nonexistence results for a class of fractional elliptic boundary value problems
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
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• A positive solution for a nonlinear Schroedinger equation on R^N