On positive solutions for a class of singular quasilinear elliptic systems

被引：39
|
作者：
Miyagaki, O. H. [1 ]
Rodrigues, R. S.
机构：
[1] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 334卷 / 02期
关键词：
degenerate equations; comparison theorems; strong maximum principle; positive solutions; quasilinear equations;
D O I：
10.1016/j.jmaa.2007.01.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study through the lower and upper-solution method, the existence of positive weak solution to the quasilinear elliptic system with weights [GRAPHICS] where Omega is a bounded smooth domain of R-N, with 0 is an element of Omega, 1 < p, q < N, 0 <= a < N-p/p, 0 <= b < N-q/q, 0 <= alpha < p - 1, 0 <= beta < q - 1, delta, gamma, c(1), c(2) > 0 and 0 := (p - 1 - alpha)(q - 1 - beta) -gamma delta > 0, for each lambda > 0. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：818 / 833
页数：16
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