TY - JOUR

T1 - Uniqueness of standing waves for nonlinear Schrdinger equations

AU - Byeon, Jaeyoung

AU - Oshita, Yoshihito

PY - 2008/10/1

Y1 - 2008/10/1

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=53849097034&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=53849097034&partnerID=8YFLogxK

U2 - 10.1017/S0308210507000236

DO - 10.1017/S0308210507000236

M3 - Article

AN - SCOPUS:53849097034

VL - 138

SP - 975

EP - 987

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 5

ER -