๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Multiple Positive Radial Solutions of Elliptic Equations in an Exterior Domain

โœ Scribed by Guodong Han; Jianjun Wang


Publisher
Springer Vienna
Year
2006
Tongue
English
Weight
113 KB
Volume
148
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Multiple positive solutions for singular
โœ Giovanna Cerami; Riccardo Molle ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

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

Existence of multiple positive solutions
โœ Tsing-San Hsu ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 257 KB

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