Positive Radial Solutions for a Class of Singular p-Laplacian Systems in a Ball

被引：0
作者：
Hai, D. D. [1 ]
Williams, J. L. [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 03期
关键词：
p-Laplacian; systems; singular; positive radial solutions; asymptotically p-linear; LINEAR ELLIPTIC-SYSTEMS;
D O I：
10.1007/s00009-014-0436-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence and nonexistence of positive radial solutions for the system {-Delta(p)u(1) = h(1) (u(2)) + mu(1)f(1)(u(2)) in B, -Delta(p)u(2) = h(2) (u(1)) + mu(2)f(2)(u(1)) in B u(1) = u(2) = 0 on partial derivative B, where p > 1, Delta(p)u = div(vertical bar del(u)vertical bar(-2)del(u)) is the open unit ball in with f (i) asymptotically p-linear at a, and mu (i) are positive constants, i = 1, 2.
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页码：791 / 801
页数：11
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