Archive for Rational Mechanics and Analysis

, Volume 140, Issue 3, pp 285–300

Semiclassical States of Nonlinear Schrödinger Equations

  • A. Ambrosetti
  • M. Badiale
  • S. Cingolani
Article

DOI: 10.1007/s002050050067

Cite this article as:
Ambrosetti, A., Badiale, M. & Cingolani, S. Arch Rational Mech Anal (1997) 140: 285. doi:10.1007/s002050050067

Abstract.

The existence of semiclassical states to some nonlinear Schrödinger equations that concentrate near the critical points of the potential V is studied by means of a local approach, variational in nature. We also discuss stability and necessary conditions for concentration. The same method is used to find multiple homoclinic orbits to a class of second‐order Hamiltonian systems.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • A. Ambrosetti
    • 1
  • M. Badiale
    • 1
  • S. Cingolani
    • 1
  1. 1.Scuola Normale Superiore, Piazza dei Cavalieri 7, I‐56126 Pisa, ItalyIT