Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system
From MaRDI portal
Publication:2033106
DOI10.1007/s12346-021-00480-yzbMath1467.35031OpenAlexW3154812067MaRDI QIDQ2033106
Lin-Jing Wang, Chun-Lei Tang, Gui-Dong Li
Publication date: 14 June 2021
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-021-00480-y
variational methodsconcentrationground state solutionsChern-Simons-Schrödinger systemsemi-classical solution
Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Related Items (2)
The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems ⋮ Existence and concentration of ground state solutions for Chern-Simons-Schrödinger system with general nonlinearity
Cites Work
- Standing waves of nonlinear Schrödinger equations with the gauge field
- Chern-Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field
- Infinitely many standing waves for the nonlinear Chern-Simons-Schrödinger equations
- Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
- The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
- Nonlinear scalar field equations. I: Existence of a ground state
- Multiple normalized solutions of Chern-Simons-Schrödinger system
- A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
- Elliptic partial differential equations of second order
- Nodal standing waves for a gauged nonlinear Schrödinger equation in \(\mathbb{R}^2\)
- Minimax theorems
- A positive ground state solution for a class of asymptotically periodic Schrödinger equations
- Sign-changing solutions to a gauged nonlinear Schrödinger equation
- Existence and concentration of semiclassical ground state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\)
- Concentration of semi-classical solutions to the Chern-Simons-Schrödinger systems
- Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
- Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
- Sign-changing solutions for the nonlinear Chern–Simons–Schrödinger equations
- Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
- Existence of groundstates for a class of nonlinear Choquard equations
- Existence and concentrate behavior of positive solutions for Chern–Simons–Schrödinger systems with critical growth
This page was built for publication: Existence and concentration of semi-classical ground state solutions for Chern-Simons-Schrödinger system