Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

Title
Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems
Publication Date
2003
Author(s)
Dancer, Edward Norman
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Ma, Li
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Pacific Journal of Mathematics
Place of publication
United States of America
UNE publication id
une:3736
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→∞.
Link
link
Citation
Pacific Journal of Mathematics, 210(2), p. 215-228
ISSN
1945-5844
0030-8730
Start page
215
End page
228

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