On the Chern-Simons-Schrödinger equation with critical exponential growth
DOI10.1007/s10114-021-0534-zzbMath1481.35142OpenAlexW4200496711WikidataQ115606151 ScholiaQ115606151MaRDI QIDQ2065648
Sitong Chen, Shuai Yuan, Xian Hua Tang
Publication date: 12 January 2022
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-021-0534-z
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)
Related Items (2)
Cites Work
- Unnamed Item
- Existence and concentration of ground state solutions for a critical nonlocal Schrödinger equation in \(\mathbb R^2\)
- Standing waves of nonlinear Schrödinger equations with the gauge field
- Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case
- A variational analysis of a gauged nonlinear Schrödinger equation
- Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
- A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Ground state solution for a class of indefinite variational problems with critical growth
- Minimax theorems
- Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth
- Berestycki-Lions conditions on ground state solutions for a nonlinear Schrödinger equation with variable potentials
- Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
- Existence and concentration of solutions for the Chern-Simons-Schrödinger system with general nonlinearity
- On a Schrödinger equation with periodic potential and critical growth in \(\mathbb{R}^{2}\)
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
This page was built for publication: On the Chern-Simons-Schrödinger equation with critical exponential growth