Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system
From MaRDI portal
Publication:2130819
DOI10.3934/MATH.2021455zbMath1484.35172OpenAlexW3168365193MaRDI QIDQ2130819
Qiongfen Zhang, Kai Chen, Jinmei Fan, Shu Q. Liu
Publication date: 25 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021455
existenceground state solutionaxially symmetricplanar Schrödinger-Poisson systemlogarithmic convolution potential
NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Ground states for a system of Schrödinger equations with critical exponent
- On the planar Schrödinger-Poisson system
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- Existence of multiple nontrivial solutions for a class of quasilinear Schrödinger equations on \(\mathbb{R}^N\)
- Nontrivial solutions for Schrödinger equation with local super-quadratic conditions
- Multiplicity of solutions for a class of quasilinear elliptic systems in Orlicz-Sobolev spaces
- On a logarithmic Hartree equation
- Some results of nontrivial solutions for Klein-Gordon-Maxwell systems with local super-quadratic conditions
- From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems
- Axially symmetric solutions of the Schrödinger-Poisson system with zero mass potential in \(\mathbb{R}^2\)
- Semiclassical solutions for a kind of coupled Schrödinger equations
- Existence and multiplicity of solutions for a class of elliptic boundary value problems
- Ground state solutions of Nehari-Pohozaev type for the planar Schrödinger-Poisson system with general nonlinearity
- Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
- Existence of ground state solutions for the planar axially symmetric Schrödinger-Poisson system
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Standing wave solutions of the nonlinear Schrödinger equation in \(\mathbb R^N\)
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Semiclassical solutions for linearly coupled Schrödinger equations without compactness
- An improved result for Klein–Gordon–Maxwell systems with steep potential well
- NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
- New Super-quadratic Conditions for Asymptotically Periodic Schrödinger Equations
- Ground states and high energy solutions of the planar Schrödinger–Poisson system
This page was built for publication: Existence of axially symmetric solutions for a kind of planar Schrödinger-Poisson system