Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation
From MaRDI portal
Publication:721307
DOI10.1007/s00033-018-0952-7zbMath1393.35024OpenAlexW2800317305MaRDI QIDQ721307
Publication date: 19 July 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-0952-7
Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (15)
Combined effects of concave and convex nonlinearities for the generalized Chern–Simons–Schrödinger systems with steep potential well and 1 < p < 2 < q < 6 ⋮ Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with critical exponential growth ⋮ On Chern-Simons-Schrödinger systems involving steep potential well and concave-convex nonlinearities ⋮ Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth ⋮ Normalized solutions of Chern-Simons-Schrödinger equations with exponential critical growth ⋮ The existence of ground state normalized solutions for Chern-Simons-Schrödinger systems ⋮ Two normalized solutions for the Chern-Simons-Schrödinger system with exponential critical growth ⋮ A positive ground state solution of asymptotically periodic Chern-Simons-Schrödinger systems with critical growth ⋮ Sign-changing multi-bump solutions for the Chern-Simons-Schrödinger equations in \(\mathbb{R} ^2\) ⋮ Unnamed Item ⋮ Existence and multiplicity of sign-changing standing waves for a gauged nonlinear Schrödinger equation in $ \newcommand{\R}{\bf {\mathbb R}} \R^2$ ⋮ Mountain-pass type solutions for the Chern-Simons-Schrödinger equation with zero mass potential and critical exponential growth ⋮ 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 ⋮ Positive ground state solutions for the Chern-Simons-Schrödinger system
Cites Work
- 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
- Standing waves of nonlinear Schrödinger equations with the gauge field
- A variational analysis of a gauged nonlinear Schrödinger equation
- Existence and stability of standing waves for supercritical NLS with a partial confinement
- Semilinear elliptic equations for beginners. Existence results via the variational approach
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- Nonlinear Schrödinger equations and sharp interpolation estimates
- A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
- Scattering for nonlinear Schrödinger equation under partial harmonic confinement
- Boundary concentration of a gauged nonlinear Schrödinger equation on large balls
- Multiple normalized solutions for quasi-linear Schrödinger equations
- On the unconditional uniqueness of solutions to the infinite radial Chern-Simons-Schrödinger hierarchy
- Standing waves for a gauged nonlinear Schrödinger equation with a vortex point
- On Dipolar Quantum Gases in the Unstable Regime
- 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
- Local Wellposedness of Chern–Simons–Schrödinger
- Normalized solutions for the Chern–Simons–Schrödinger equation in R^2
- Existence of solutions with prescribed norm for semilinear elliptic equations
- Blow-up solutions of the Chern–Simons–Schrödinger equations
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
- Self-Dual Chern-Simons Theories
This page was built for publication: Multiple normalized solutions for a planar gauged nonlinear Schrödinger equation