Ground States for Nonlinear Schrödinger Equations with a Sign-changing Potential Well

DOI10.1515/ANS-2015-0401zbMath1333.35256OpenAlexW2511000923MaRDI QIDQ3463724

Jiankang Xia, Zhi-Qiang Wang

Publication date: 20 January 2016

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

Full work available at URL: https://doi.org/10.1515/ans-2015-0401

zbMATH Keywords

nonlinear Schrödinger equationground state solutionsign-changing potentialmodified Nehari manifold

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

An improved Fountain theorem and its application ⋮ Sign-changing solutions to critical Schrödinger equation with Hartree-type nonlinearity ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent

Cites Work

• Periodic nonlinear Schrödinger equation with application to photonic crystals
• On a class of nonlinear Schrödinger equations

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