Multiple complex-valued solutions for nonlinear magnetic Schrödinger equations
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Publication:523322
DOI10.1007/s11784-016-0347-3zbMath1360.35239arXiv1604.06188OpenAlexW2963879678MaRDI QIDQ523322
Kazunaga Tanaka, Silvia Cingolani, Louis Jeanjean
Publication date: 20 April 2017
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.06188
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (9)
Existence in the nonlinear Schrödinger equation with bounded magnetic field ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ Semi-classical analysis around local maxima and saddle points for degenerate nonlinear Choquard equations ⋮ Ground‐state solutions of Schrödinger‐type equation with magnetic field ⋮ Construction of solutions for some localized nonlinear Schrödinger equations ⋮ Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth ⋮ Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well ⋮ Concentration results for a magnetic Schrödinger-Poisson system with critical growth ⋮ Nonlinear Schrödinger equation with bounded magnetic field
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