A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima

Silvia Cingolani*, Kazunaga Tanaka

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

We present some new existence results of semiclassical bound states for a nonlinear Schrödinger equation concentrating at local maxima of an external potential, by means of deformation arguments in augmented spaces.

Original languageEnglish
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages309-331
Number of pages23
DOIs
Publication statusPublished - 2023

Publication series

NameTrends in Mathematics
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X

Keywords

  • Deformation theory
  • Local maxima
  • Nonlinear Schrödinger equation
  • Singular perturbation

ASJC Scopus subject areas

  • General Mathematics

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