Uniqueness of standing waves for nonlinear Schrdinger equations

Jaeyoung Byeon, Yoshihito Oshita

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

For m > 0 and p ∈ (1, (N + 2)/(N - 2)), we show the uniqueness and a linearized non-degeneracy of solutions for the following problem: δu - |x|mu + up = 0, u > 0 in ℝN and lim |x|→∞ u(x) = 0.

Original languageEnglish
Pages (from-to)975-987
Number of pages13
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume138
Issue number5
DOIs
Publication statusPublished - Oct 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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