Multiple Positive Radial Solutions of Elliptic Equations in an Exterior Domain
โ Scribed by Guodong Han; Jianjun Wang
- Publisher
- Springer Vienna
- Year
- 2006
- Tongue
- English
- Weight
- 113 KB
- Volume
- 148
- Category
- Article
- ISSN
- 0026-9255
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๐ SIMILAR VOLUMES
The equation -ฮต 2 u + a ฮต (x)u = u p-1 with boundary Dirichlet zero data is considered in an exterior domain = R N \ ฯ (ฯ bounded and N 2). Under the assumption that a ฮต a 0 > 0 concentrates round a point of as ฮต โ 0, that p > 2 and p < 2N/(N -2) when N 3, the existence of at least three positive di
In this paper, we consider the subcritical semilinear elliptic problem (\*) where 0, N 3, 1 < p < (N + 2)/(N -2), and is an exterior strip domain in R N . Under some suitable conditions on K and f , we show that there exists a positive constant \* , \* depending on K and f , such that ( \* ) has ex