Nontrivial solutions for a mixed boundary problem for Schrödinger equations with an external magnetic field

DOI10.12775/TMNA.2015.050zbMath1362.35276arXiv1309.4691MaRDI QIDQ526116

Rodrigo C. M. Nemer, Sérgio H. M. Soares, Claudianor Oliveira Alves

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4691

zbMATH Keywords

Morse theorynonlinear Schrödinger equationvariational methodsLusternik-Schnirelman category

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Quasielliptic equations (35H30)

Related Items (2)

The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ Existence of infinitely many weak solutions to Kirchhoff–Schrödinger–Poisson systems and related models

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