Multiple solutions for Schrödinger-Poisson type equation with magnetic field

DOI10.1063/1.4929571zbMath1329.35297OpenAlexW1895134019MaRDI QIDQ3192685

Xiaomei Sun, Anqiang Zhu

Publication date: 13 October 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4929571

zbMATH Keywords

Ljusternik-Schnirelmann theorynonlinear Schrödinger-Poisson type equation

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (8)

Multiplicity and concentration results for fractional Schrödinger-Poisson equations with magnetic fields and critical growth ⋮ Multiplicity of concentrating solutions for a class of magnetic Schrödinger-Poisson type equation ⋮ On the ground states for the X‐ray free electron lasers Schrödinger equation ⋮ Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field ⋮ Existence of multi-bump solutions for the magnetic Schrödinger-Poisson system in \(\mathbb{R}^3\) ⋮ Concentration results for a magnetic Schrödinger-Poisson system with critical growth ⋮ Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation ⋮ Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
• Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
• The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
• Multiple positive solutions for a Schrödinger-Poisson-Slater system
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• On the existence of solutions for the Schrödinger-Poisson equations
• Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system
• On Schrödinger-Poisson systems
• On a class of nonlinear Schrödinger equations
• Multiple semiclassical standing waves for a class of nonlinear Schrödinger equations
• On a class of singularly perturbed elliptic equations in divergence form: existence and multiplicity results
• Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
• Local mountain passes for semilinear elliptic problems in unbounded domains
• Minimax theorems
• Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
• The Schrödinger–Poisson System with Positive Potential
• Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
• Multiplicity of Positive Solutions For a Quasilinear Problem in IR^N Via Penalization Method
• On the frequency of Titchmarsh's phenomenon for ζ(s)-VII
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Low Energy Solutions for the Semiclassical Limit of Schrödinger–Maxwell Systems
• On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation

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