Uniqueness of standing waves for nonlinear Schrdinger equations

Jaeyoung Byeon; Yoshihito Oshita

doi:10.1017/S0308210507000236

Uniqueness of standing waves for nonlinear Schrdinger equations

Jaeyoung Byeon, Yoshihito Oshita

Research output: Contribution to journal › Article › peer-review

11 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 + u^p = 0, u > 0 in ℝ^N and lim |x|→∞ u(x) = 0.

Original language	English
Pages (from-to)	975-987
Number of pages	13
Journal	Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume	138
Issue number	5
DOIs	https://doi.org/10.1017/S0308210507000236
Publication status	Published - Oct 1 2008

ASJC Scopus subject areas

Mathematics(all)

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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.",

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AB - 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.

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