On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities

Publication date: 15 July 2022

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/advances-in-differential-equations/volume-27/issue-9_2f_10/On-Chern-Simons-Schr%c3%b6dinger-systems-involving-steep-potential-well-and/ade027-0910-543.full

zbMATH Keywords

existence nonlinear Schrödinger equation

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)

Cites Work

Unnamed Item
Unnamed Item
On standing waves with a vortex point of order $N$ for the nonlinear Chern-Simons-Schrödinger equations
Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
Existence of a positive solution to Kirchhoff-type problems without compactness conditions
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
Infinitely many standing waves for the nonlinear Chern-Simons-Schrödinger equations
Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
Nonlinear scalar field equations. I: Existence of a ground state
A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
An existence and stability result for standing waves of nonlinear Schrödinger equations
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
Elliptic partial differential equations of second order
Nodal standing waves for a gauged nonlinear Schrödinger equation in $\mathbb{R}^2$
On the variational principle
Minimax theorems
Sign-changing solutions to a gauged nonlinear Schrödinger equation
Concentration behavior and multiplicity of solutions to a gauged nonlinear Schrödinger equation
Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well
Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
Ground states for Kirchhoff equations without compact condition
Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity
Existence of positive ground state solutions for the nonlinear Kirchhoff type equations in $\mathbb{R}^3$
The Schrödinger-Poisson equation under the effect of a nonlinear local term
Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
Local Wellposedness of Chern–Simons–Schrödinger
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
Decay and Scattering for the Chern–Simons–Schrödinger Equations
Blow-up solutions of the Chern–Simons–Schrödinger equations
Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL
Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
Existence and multiplicity results for some superlinear elliptic problems on R^N
Self-Dual Chern-Simons Theories
On Schrödinger–Poisson systems involving concave–convex nonlinearities via a novel constraint approach
On multiplicity and concentration of solutions for a gauged nonlinear Schrödinger equation
Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation
Existence and concentrate behavior of positive solutions for Chern–Simons–Schrödinger systems with critical growth
Solutions to a gauged Schrödinger equation with concave–convex nonlinearities without (AR) condition

This page was built for publication: On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities