Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

Jaeyoung Byeon; Louis Jeanjean

doi:10.3934/dcds.2007.19.255

Article Contents

2007, Volume 19, Issue 2: 255-269. Doi: 10.3934/dcds.2007.19.255

This issue Previous Article Hopf bifurcation at infinity for planar vector fields Next Article Nonexistence of limit cycles for a class of structurally stable quadratic vector fields

Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

Jaeyoung Byeon^1, and
Louis Jeanjean^2,

1.
Department of Mathematics, Pohang University of Science and Technology, Pohang, Kyungbuk 790-784
2.
Equipe de Mathématiques (UMR CNRS 6623), Université de Franche-Comté, 16 Route de Gray, 25030 Besançon

Received: September 2005

Revised: October 2005

Published: May 2007

Abstract / Introduction Related Papers Cited by

Abstract

We consider singularly perturbed elliptic equations $\varepsilon^2\Delta u - V(x) u + f(u)=0, x\in R^N, N \ge 3.$ For small $\varepsilon > 0,$ we glue together localized bound state solutions concentrating at isolated components of positive local minimum of $V$ under conditions on $f$ we believe to be almost optimal.

Keywords:

Variational methods,
singularly perturbed elliptic problems.

Mathematics Subject Classification: Primary: 35J20; Secondary: 35J60.

Citation:

Article Metrics

HTML views() PDF downloads(162) Cited by(0)

Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content