The existence of normalized solutions for \(L^2\)-critical quasilinear Schrödinger equations
From MaRDI portal
Publication:1996136
DOI10.1016/j.jmaa.2020.124839zbMath1459.35115OpenAlexW3112438105MaRDI QIDQ1996136
Publication date: 3 March 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.124839
Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)
Related Items (6)
Quasilinear Schrödinger equations: ground state and infinitely many normalized solutions ⋮ Multiple normalized solutions for a quasi-linear Schrödinger equation via dual approach ⋮ Stable standing waves for a Schrödinger system with nonlinearχ3 response ⋮ Ground states for a quasilinear Schrödinger equation: mass critical and supercritical cases ⋮ On the well-posedness and stability for the fourth-order Schrödinger equation with nonlinear derivative term ⋮ Normalized solutions for Schrödinger system with quadratic and cubic interactions
Cites Work
- Unnamed Item
- Multibump solutions for quasilinear elliptic equations
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Soliton solutions for quasilinear Schrödinger equations with critical growth
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Solutions for a quasilinear Schrödinger equation: a dual approach.
- On the existence of soliton solutions to quasilinear Schrödinger equations
- Soliton solutions for quasilinear Schrödinger equations. II.
- Positive solutions to a class of quasilinear elliptic equations on \(\mathbb{R}\)
- Multiple solutions for a quasilinear Schrödinger equation
- Localized nodal solutions for quasilinear Schrödinger equations
- Multiple normalized solutions for quasi-linear Schrödinger equations
- Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- Stability and instability results for standing waves of quasi-linear Schrödinger equations
- Quasilinear elliptic equations via perturbation method
This page was built for publication: The existence of normalized solutions for \(L^2\)-critical quasilinear Schrödinger equations
