Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

Author(s)
Dancer, Edward Norman
Du, Yihong
Ma, Li
Publication Date
2003
Abstract
In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu^p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞.
Citation
Pacific Journal of Mathematics, 210(2), p. 215-228
ISSN
1945-5844
0030-8730
Link
https://hdl.handle.net/1959.11/3646
Publisher
Pacific Journal of Mathematics
Title
Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems
Type of document
Journal Article
Entity Type
Publication

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