TY - JOUR

T1 - Uniqueness of standing waves for nonlinear Schrdinger equations

AU - Byeon, Jaeyoung

AU - Oshita, Yoshihito

N1 - Funding Information:
The work of J.B. was supported by Grant no. R01-2004-000-10055-0 from the Basic Research Program of the Korea Science and Engineering Foundation, and the Korea Research Foundation Grant no. KRF-2007-313-C00047.

PY - 2008/10

Y1 - 2008/10

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.

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U2 - 10.1017/S0308210507000236

DO - 10.1017/S0308210507000236

M3 - Article

AN - SCOPUS:53849097034

SN - 0308-2105

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

IS - 5

ER -