Infinitely many solutions for nonlinear Schrödinger equations with electromagnetic fields

DOI10.1016/j.jde.2011.08.038zbMath1229.35267OpenAlexW2082774625MaRDI QIDQ641019

Chunhua Wang, Gongbao Li, Shuangjie Peng

Publication date: 21 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.08.038

zbMATH Keywords

nonlinear Schrödinger equationselectromagnetic fieldscontraction mapnon-radial complex-valued solutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Electromagnetic theory (general) (78A25)

Related Items (16)

Segregated vector solutions for nonlinear Schrödinger systems with electromagnetic potentials ⋮ Construction of solutions for the nonlinear magnetic Schrödinger equation in RN ⋮ Positive or sign-changing solutions for a critical semilinear nonlocal equation ⋮ Existence and concentration behavior of ground state solutions for magnetic nonlinear Choquard equations ⋮ The use of the Morse theory to estimate the number of nontrivial solutions of a nonlinear Schrödinger equation with a magnetic field ⋮ Multiple complex-valued solutions for the nonlinear Schrödinger equations involving magnetic potentials ⋮ Least energy solutions for semilinear Schrödinger equation with electromagnetic fields and critical growth ⋮ Concentration on curves for a nonlinear Schrödinger problem with electromagnetic potential ⋮ Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions ⋮ Existence results for nonlinear Schrödinger systems with electromagnetic fields in ℝ^N ⋮ Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution ⋮ On concentration of least energy solutions for magnetic critical Choquard equations ⋮ Infinitely many solutions for the nonlinear Schrödinger equations with magnetic potentials in $\mathbb {R}^{N}$RN ⋮ Least energy solutions for a non-linear Schrödinger system with electromagnetic fields and potential wells ⋮ Infinitely many solutions for a nonlinear Schrödinger equation with non-symmetric electromagnetic fields ⋮ Infinitely many solutions for nonlinear Schrödinger systems with magnetic potentials in R3

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