UNIQUENESS OF STANDING WAVES FOR NONLINEAR SCHRODINGER EQUATIONS
SCIE
SCOPUS
- Title
- UNIQUENESS OF STANDING WAVES FOR NONLINEAR SCHRODINGER EQUATIONS
- Authors
- Byeon, J; Oshita, Y
- Date Issued
- 2008-01
- Publisher
- ROYAL SOC EDINBURGH
- Abstract
- For m > 0 and p is an element of (1, (N + 2)/(N - 2)), we show the uniqueness and a linearized non-degeneracy of solutions for the following problem: Delta u - vertical bar x vertical bar(m)u + u(p) = 0, u > 0 in R(N) and vertical bar x vertical bar-->infinity lim u(x) = 0.
- Keywords
- SEMILINEAR ELLIPTIC-EQUATIONS; POSITIVE RADIAL SOLUTIONS; CRITICAL FREQUENCY; SYMMETRY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29102
- DOI
- 10.1017/S0308210507000236
- ISSN
- 0308-2105
- Article Type
- Article
- Citation
- PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, vol. 138, page. 975 - 987, 2008-01
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