Semiclassical states of nonlinear Schrödinger equations with bounded potentials
type: Item
instance of: scholarly article
title: Semiclassical states of nonlinear Schrödinger equations with bounded potentials
zbMATH Open document ID: 0872.35098
author: A. Ambrosetti
author: M. Badiale
author: Silvia Cingolani
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1997-06-16T00:00:00Z
full work available at URL: https://eudml.org/doc/244295
review text: Summary: Using some perturbation results in critical point theory, we prove that a class of nonlinear Schrödinger equations \[ i\hslash {\partial\psi\over\partial t}= -\hslash^2\Delta\psi+ V(x)\psi-|\psi|^{p-1}\psi,\quad x\in\mathbb{R}^N, \] possesses semiclassical states that concentrate near the critical points of the potential \(V\).
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 1022348
zbMATH Keywords: nonlinear Schrödinger equations
zbMATH Keywords: critical point theory
zbMATH Keywords: homoclinic solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1022348