Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions

被引：21
|
作者：
De Coster, C
Omari, P
机构：
[1] Univ Littoral Cote Opale, LMPA Liouville, F-62228 Calais, France
[2] Univ Trieste, Dipartimento Sci Matemat, I-34127 Trieste, Italy
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 175卷 / 01期
关键词：
D O I：
10.1006/jfan.2000.3600
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the solvability of the Dirichlet-periodic problem for a semilinear parabolic equation, assuming the existence of a lower solution alpha and an upper solution beta, which do not satisfy the ordering condition alpha less than or equal to beta. Our results yield the existence of unstable solutions, localized by means of alpha and beta, requiring weak regularity of the coefficients of the equation. (C) 2000 Academic Press.
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页码：52 / 88
页数：37
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