Semi-classical limit for radial nonlinear Schrödinger equation
From MaRDI portal
Publication:1781848
DOI10.1007/s00220-005-1320-yzbMath1075.35010OpenAlexW2063250217MaRDI QIDQ1781848
Patricio L. Felmer, Rodrigo Castro
Publication date: 8 June 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-005-1320-y
Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20)
Related Items
Multiplicity and concentration for the nonlinear Schrödinger equation with critical frequency ⋮ Standing waves for supercritical nonlinear Schrödinger equations ⋮ On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation ⋮ Numerical simulation of singularly perturbed reaction-diffusion equation using finite element method ⋮ Thick clusters for the radially symmetric nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Variational methods in geometry
- Solutions, concentrating on spheres, to symmetric singularly perturbed problems
- The semiclassical limit of the nonlinear Schrödinger equation in a radial potential
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- On a class of nonlinear Schrödinger equations
- Existence of solitary waves in higher dimensions
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
- High-energy solutions for a phase transition problem.
- Multiple clustered layer solutions for semilinear Neumann problems on a ball
- On concentration of positive bound states of nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Local mountain passes for semilinear elliptic problems in unbounded domains
- SEMI-CLASSICAL LIMIT FOR THE ONE DIMENSIONAL NONLINEAR SCHRÖDINGER EQUATION
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- An elementary construction of complex patterns in nonlinear Schr$ouml$dinger equations
- Boundary concentration phenomena for a singularly perturbed elliptic problem
- Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II
- High-frequency chaotic solutions for a slowly varying dynamical system
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.