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 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 | |
| Publication status | Published - Oct 2008 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Uniqueness of standing waves for nonlinear Schrdinger equations. / Byeon, Jaeyoung; Oshita, Yoshihito.
In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 138, No. 5, 10.2008, p. 975-987.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Uniqueness of standing waves for nonlinear Schrdinger equations
AU - Byeon, Jaeyoung
AU - Oshita, Yoshihito
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 -