ON THE LOCATION OF A PEAK POINT OF A LEAST ENERGY SOLUTION FOR HENON EQUATION
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SCOPUS
- Title
- ON THE LOCATION OF A PEAK POINT OF A LEAST ENERGY SOLUTION FOR HENON EQUATION
- Authors
- Byeon, J; Cho, S; Park, J
- Date Issued
- 2011-08
- Publisher
- AMER INST MATHEMATICAL SCIENCES
- Abstract
- Let Omega be a smooth bounded domain. We are concerned about the following nonlinear elliptic problem: {Delta u + vertical bar x vertical bar(alpha)u(p) = 0, u > 0 in Omega, u = 0 on partial derivative Omega, where alpha > 0, p is an element of (1, n+2/n 2). In this paper, we show that for n >= 8, a maximum point x(alpha) of a least energy solution of above problem converges to a point x(0) is an element of partial derivative*Omega satisfying H(x(0)) = min(omega is an element of partial derivative*Omega) H(omega) as alpha -> infinity, where H is the mean curvature on partial derivative Omega and partial derivative*Omega {x is an element of partial derivative Omega : vertical bar x vertical bar >= vertical bar y vertical bar for any y is an element of Omega}.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/35893
- DOI
- 10.3934/DCDS.2011.30.1055
- ISSN
- 1078-0947
- Article Type
- Article
- Citation
- DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 30, no. 4, page. 1055 - 1081, 2011-08
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