Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells

DOI10.1080/00036811.2012.762089zbMath1291.35343OpenAlexW2073288502WikidataQ58251768 ScholiaQ58251768MaRDI QIDQ5413831

Yujuan Jiao, Shengmao Fu

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.762089

zbMATH Keywords

electromagnetic fieldvariational methodpotential wellnonlinear Schrödinger systemleast energy solution

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Least energy solutions for semilinear Schrödinger systems with electromagnetic fields and critical growth

Cites Work

• Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields
• Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields
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• A semilinear Schrödinger equation in the presence of a magnetic field
• Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
• Solutions of perturbed Schrödinger equations with electromagnetic fields and critical nonlinearity
• Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)_a
• Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
• Multiplicity results for some nonlinear Schrödinger equations with potentials

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