Solutions to Chern-Simons-Schrödinger systems with external potential
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Publication:2056476
DOI10.3934/DCDSS.2021008zbMath1480.35166OpenAlexW3120481805MaRDI QIDQ2056476
Jinge Yang, Lingyu Li, Jianfu Yang
Publication date: 8 December 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021008
Variational methods for elliptic systems (35J50) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
Related Items (5)
A ground state solution to the Chern-Simons-Schrödinger system ⋮ 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 ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations
- Standing waves of nonlinear Schrödinger equations with the gauge field
- Multiple solutions for a Schrödinger-Poisson-Slater equation with external Coulomb potential
- A variational analysis of a gauged nonlinear Schrödinger equation
- The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
- Schrödinger-Poisson system with steep potential well
- A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
- Minimax theorems
- Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
- Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
- Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Self-Dual Chern-Simons Theories
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