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Lee, Youngae
Nonlinear Analysis Lab.
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Variational approach to bifurcation from infinity for nonlinear elliptic problems

Author(s)
Byeon, JaeyoungLee, Youngae
Issued Date
2013-04
DOI
10.1017/S0308210511000801
URI
https://scholarworks.unist.ac.kr/handle/201301/53477
Citation
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v.143, no.2, pp.269 - 301
Abstract
For any N >= 1 and sufficiently small epsilon > 0, we find a positive solution of a nonlinear elliptic equation Delta u = epsilon(2)(V(x)u - f(u)), x is an element of R-N, when lim(vertical bar x vertical bar ->infinity) V(x) = m > 0 and some optimal conditions on f are satisfied. Furthermore, we investigate the asymptotic behaviour of the solution as epsilon -> 0.
Publisher
CAMBRIDGE UNIV PRESS
ISSN
0308-2105
Keyword
LEAST-ENERGY SOLUTIONSSCHRODINGER-EQUATIONSSTANDING WAVESSEMICLASSICAL STATESDIRICHLET PROBLEMSFIELD-EQUATIONSEXISTENCE

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