Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with zero mass potential and critical exponential growth
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Publication:2091078
DOI10.1007/s12220-022-01046-3zbMath1501.35198OpenAlexW4307649135WikidataQ115601541 ScholiaQ115601541MaRDI QIDQ2091078
Ning Zhang, Sitong Chen, Xian Hua Tang
Publication date: 31 October 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-01046-3
Trudinger-Moser inequalitycritical exponential growthChern-Simons-Schrödinger equationsmountain-pass type solutionzero mass potential
Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61)
Related Items (5)
Existence and nonexistence of nontrivial solutions for the Schrödinger-Poisson system with zero mass potential ⋮ Normalized solutions for Schrödinger equations with mixed dispersion and critical exponential growth in \(\mathbb{R}^2\) ⋮ Multiple normalized solutions for the planar Schrödinger-Poisson system with critical exponential growth ⋮ Zero-mass gauged Schrödinger equations with supercritical exponential growth ⋮ Ground state sign-changing solutions for the Chern-Simons-Schrödinger equation with zero mass potential
Cites Work
- 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
- Standing waves of nonlinear Schrödinger equations with the gauge field
- A variational analysis of a gauged nonlinear Schrödinger equation
- Standing waves for the Chern-Simons-Schrödinger equation with critical exponential growth
- Ground state solutions for Hamiltonian elliptic system with inverse square potential
- Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
- On the planar Schrödinger equation with indefinite linear part and critical growth nonlinearity
- Sharp Gagliardo-Nirenberg inequalities and mass transport theory
- 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
- Infinitely many solutions for a gauged nonlinear Schrödinger equation
- Minimax theorems
- Existence and multiplicity of solutions for asymptotically 3-linear Chern-Simons-Schrödinger systems
- Improved results on planar Kirchhoff-type elliptic problems with critical exponential growth
- Combined effects of singular and exponential nonlinearities in fractional Kirchhoff problems
- On the Chern-Simons-Schrödinger equation with critical exponential growth
- Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
- Axially symmetric solutions for the planar Schrödinger-Poisson system with critical exponential growth
- Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
- Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- 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
- Standing waves for a gauged nonlinear Schrödinger equation with a vortex point
- Standing waves of the Schrödinger equation coupled with the Chern-Simons gauge field
- Local Wellposedness of Chern–Simons–Schrödinger
- Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
- Ground state solutions for a class of gauged Schrödinger equations with subcritical and critical exponential growth
- On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Nonlinear Analysis - Theory and Methods
- Ground state solutions for the Chern–Simons–Schrödinger equations with general nonlinearity
- Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth
- On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces
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