A global branch approach to normalized solutions for the Schrödinger equation
From MaRDI portal
Publication:6202713
DOI10.1016/j.matpur.2024.01.004arXiv2112.05869MaRDI QIDQ6202713
Louis Jeanjean, Jian Jun Zhang, Xue Xiu Zhong
Publication date: 27 February 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.05869
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
- A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- An introduction to nonlinear functional analysis and elliptic problems
- Nonlinear scalar field equations. II: Existence of infinitely many solutions
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Instability of nonlinear bound states
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Symmetry and related properties via the maximum principle
- Correction to: ``A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems
- Normalized solutions of nonlinear Schrödinger equations
- A mass supercritical problem revisited
- Normalized ground states of the nonlinear Schrödinger equation with at least mass critical growth
- Normalized solutions for a coupled Schrödinger system
- On global minimizers for a mass constrained problem
- Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
- Multiple normalized solutions for a Sobolev critical Schrödinger equation
- A note on deformation argument for \(L^2\) normalized solutions of nonlinear Schrödinger equations and systems
- Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
- Normalized ground states for the NLS equation with combined nonlinearities
- The double-power nonlinear Schrödinger equation and its generalizations: uniqueness, non-degeneracy and applications
- On the normalized ground states of second order PDE's with mixed power non-linearities
- Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term
- Some global results for nonlinear eigenvalue problems
- Some continuation properties via minimax arguments
- Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
- Existence of solutions with prescribed norm for semilinear elliptic equations
- A Note on the Topological Degree at a Critical Point of Mountainpass-Type
- Global and local behavior of positive solutions of nonlinear elliptic equations
- A Note on a Mountain Pass Characterization of Least Energy Solutions
- Bifurcation for Dirichlet Problems Without Eigenvalues
- A remark on least energy solutions in $\mathbf {R}^N$
- Non-uniqueness of positive ground states of non-linear Schrödinger equations
- Nonradial normalized solutions for nonlinear scalar field equations
- Superlinear Parabolic Problems
This page was built for publication: A global branch approach to normalized solutions for the Schrödinger equation
