Blow-up solutions to a (p, q)-Laplacian system with gradient term

被引:10
作者
Hamydy, A. [1 ]
Massar, M. [1 ]
Tsouli, N. [1 ]
机构
[1] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco
关键词
Existence; Non-existence; Blow-up solution; Explosive solution; p-Laplacian System; radial solution; term gradient; SEMILINEAR ELLIPTIC-SYSTEMS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;
D O I
10.1016/j.aml.2011.10.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we are mainly concerned with the existence and non-existence of blow-up positive solutions for the nonlinear system Delta(p)u + lambda(|x|)|del u|(p-1) = phi(|x|)f(v), Delta(q)v + mu(|x|)|del v|(q-1) = psi(|x|)g(u) in R-N. Sufficient conditions for the existence and non-existence of blow-up solutions are established. (C) 2011 Elsevier Ltd. All rights reserved.
引用
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页码:745 / 751
页数:7
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