Positive ground state solutions for the Chern-Simons-Schrödinger system
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Publication:2116777
DOI10.1007/s13324-022-00656-yzbMath1485.35179OpenAlexW4212999017MaRDI QIDQ2116777
Publication date: 18 March 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13324-022-00656-y
nonexistenceconcentrationChern-Simons-Schrödinger systemexistence of positive ground state solutions
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
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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
- A variational analysis of a gauged nonlinear Schrödinger equation
- Infinitely many standing waves for the nonlinear Chern-Simons-Schrödinger equations
- The existence of nontrivial solutions to Chern-Simons-Schrödinger systems
- Groundstates for Kirchhoff-type equations with Hartree-type nonlinearities
- Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
- On the existence of solutions for the Schrödinger-Poisson equations
- Regularity for a more general class of quasilinear equations
- Minimax theorems
- Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\)
- Standing waves for the Chern-Simons-Schrödinger systems without (AR) condition
- Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
- 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
- Standing waves of modified Schrödinger equations coupled with the Chern–Simons gauge theory
- Blow-up solutions of the Chern–Simons–Schrödinger equations
- 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
- Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$
- On harnack type inequalities and their application to quasilinear elliptic equations