Uniqueness and nondegeneracy of the ground state for a quasilinear Schrödinger equation with a small parameter
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Publication:629288
DOI10.1016/j.na.2010.10.045zbMath1210.35237OpenAlexW2022480116MaRDI QIDQ629288
Publication date: 9 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.10.045
NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)
Related Items (11)
The dual approach to stationary and evolution quasilinear PDEs ⋮ Remarks on nondegeneracy of ground states for quasilinear Schrödinger equations ⋮ Ground state solutions for asymptotically periodic quasilinear Schrödinger equations with critical growth ⋮ A ground state solution for an asymptotically periodic quasilinear Schrödinger equation ⋮ Existence of a bound state solution for quasilinear Schrödinger equations ⋮ Asymptotic uniqueness of ground states for a class of quasilinear Schrödinger equations with \(H^{1}\)-supercritical exponent ⋮ Uniqueness of the ground state of the NLS on \(\mathbb{H}^d\) via analytical and topological methods ⋮ MORAWETZ AND INTERACTION MORAWETZ ESTIMATES FOR A QUASILINEAR SCHRÖDINGER EQUATION ⋮ Uniqueness of ground states for a class of quasi-linear elliptic equations ⋮ Nondegeneracy of the ground state for quasilinear Schrödinger equations ⋮ Multiple normalized solutions for quasi-linear Schrödinger equations
Cites Work
- The Cauchy problem for quasi-linear Schrödinger equations
- Nonlinear scalar field equations. I: Existence of a ground state
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Semi-classical states for nonlinear Schrödinger equations
- 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.
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Bifurcations for quasilinear Schrödinger equations. I
- Linear and quasilinear elliptic equations
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Solutions for Quasilinear Schrödinger Equations via the Nehari Method
- BIFURCATIONS FOR QUASILINEAR ELLIPTIC EQUATIONS, II
- Stability and instability results for standing waves of quasi-linear Schrödinger equations
- Nash moser methods for the solution of quasilinear schrödinger equations
- ON THE LOCAL WELL-POSEDNESS OF QUASILINEAR SCHRÖDINGER EQUATIONS IN ARBITRARY SPACE DIMENSION
- Soliton solutions for quasilinear Schrödinger equations, I
- On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension
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