Existence and nonexistence of solutions for a quasilinear elliptic system

被引：0
作者：
Li, Qin [1 ]
Yang, Zuodong [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Sch Teacher Educ, Nanjing 210097, Jiangsu, Peoples R China
来源：
ANNALES POLONICI MATHEMATICI | 2015年 / 113卷 / 02期
基金：
中国国家自然科学基金;
关键词：
quasilinear elliptic system; existence; nonexistence; sub-super solution; POSITIVE SOLUTIONS; UNIQUENESS; BEHAVIOR;
D O I：
10.4064/ap113-2-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By a sub-super solution argument, we study the existence of positive solutions for the system {-Delta(p)u = a(1)(x)F-1(x,u,v) in Omega, -Delta(q)v = a(2)(X)F-2(x,u,v) in Omega, u, v > 0 in Omega, u - v - 0 on partial derivative Omega, where Omega is a bounded domain in R-N with smooth boundary or Omega = R-N. A nonexistence result is obtained for radially symmetric solutions.
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页码：155 / 164
页数：10
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