Periodic and Bloch Solutions to a Magnetic Nonlinear Schrödinger Equation

DOI10.1515/ans-2009-0404zbMath1182.35203OpenAlexW125707496MaRDI QIDQ3645987

Mónica Clapp, Renato Iturriaga, Andrzej Szulkin

Publication date: 18 November 2009

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

Full work available at URL: https://doi.org/10.1515/ans-2009-0404

zbMATH Keywords

periodic solutionsmagnetic nonlinear Schrödinger equationBloch solutions

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ Ground state solutions for Schrödinger problems with magnetic fields and Hardy-Sobolev critical exponents ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation ⋮ Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent ⋮ Existence and multiplicity of solutions for nonlinear Schrödinger equations with magnetic field and Hartree type nonlinearities ⋮ Multiple solutions to a nonlinear Schrödinger equation with Aharonov-Bohm magnetic potential ⋮ Multi-peak solutions for magnetic NLS equations without non-degeneracy conditions ⋮ Multiple semiclassical solutions for a nonlinear Choquard equation with magnetic field

Cites Work

• Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
• Dual variational methods in critical point theory and applications
• On the structure of spectra of periodic elliptic operators

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