Normalized solutions for Chern-Simons-Schrödinger system with critical exponential growth

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Cites Work

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On standing waves with a vortex point of order $N$ for the nonlinear Chern-Simons-Schrödinger equations
Ground state solution for a Kirchhoff problem with exponential critical growth
Standing waves of nonlinear Schrödinger equations with the gauge field
Equivalent Moser type inequalities in $\mathbb{R}^2$ and the zero mass case
Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
Nonlinear Schrödinger equations and sharp interpolation estimates
Normalized solutions to the Chern-Simons-Schrödinger system
Multiple normalized solutions of Chern-Simons-Schrödinger system
A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
The concentration-compactness principle in the calculus of variations. The limit case. I
Elliptic equations in $R^ 2$ with nonlinearities in the critical growth range
Nodal standing waves for a gauged nonlinear Schrödinger equation in $\mathbb{R}^2$
Minimax theorems
Normalized solutions of nonlinear Schrödinger equations
Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in $\mathbb{R} ^2$
Sign-changing solutions to a gauged nonlinear Schrödinger equation
On the Chern-Simons-Schrödinger equation with critical exponential growth
Standing wave solution for the generalized Jackiw-Pi model
Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
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Normalized solutions of Chern-Simons-Schrödinger equations with exponential critical growth
Two normalized solutions for the Chern-Simons-Schrödinger system with exponential critical growth
Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
Existence of solutions with prescribed norm for semilinear elliptic equations
Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ^Nand Applications
Blow-up solutions of the Chern–Simons–Schrödinger equations
Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
Existence and multiplicity of normalized solutions for the nonlinear Chern–Simons–Schrödinger equations
The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems
Normalized Solutions for Schrödinger Equations with Critical Exponential Growth in $\boldsymbol{\mathbb{R}^2}$

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