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.
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 -