Chern-Simons limit of ground state solutions for the Schrödinger equations coupled with a neutral scalar field
From MaRDI portal
Publication:2101056
DOI10.1016/j.jde.2022.10.008zbMath1503.35211OpenAlexW4306751710MaRDI QIDQ2101056
Jin-Cai Kang, Chun-Lei Tang, Xiao-Qi Liu
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.008
Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs on manifolds (35R01) Classical solutions to PDEs (35A09)
Cites Work
- Unnamed Item
- Energy solution to the Chern-Simons-Schrödinger equations
- 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
- A variational analysis of a gauged nonlinear Schrödinger equation
- Nonlinear scalar field equations. I: Existence of a ground state
- Normalized solutions to the Chern-Simons-Schrödinger system
- Functional analysis, Sobolev spaces and partial differential equations
- Elliptic partial differential equations of second order
- Minimax theorems
- Positive energy static solutions for the Chern-Simons-Schrödinger system under a large-distance fall-off requirement on the gauge potentials
- Nonexistence result for Chern-Simons-Schrödinger-Higgs system
- Standing waves for a Schrödinger-Chern-Simons-Higgs system
- Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
- Local Wellposedness of Chern–Simons–Schrödinger
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Standing waves of modified Schrödinger equations coupled with the Chern–Simons gauge theory
- Existence of ground states for a modified nonlinear Schrödinger equation
- Blow-up solutions of the Chern–Simons–Schrödinger equations
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Self-dual Chern-Simons vortices
- Multivortex solutions of the Abelian Chern-Simons-Higgs theory
- Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
This page was built for publication: Chern-Simons limit of ground state solutions for the Schrödinger equations coupled with a neutral scalar field