Existence of entire radial solutions to a class of quasilinear elliptic equations and systems

被引：4

作者：

Zhou, Song ^{[1
,2
]}

机构：

[1] Yantai Nanshan Univ, 1 Nanshan Rd, Yantai 265713, Peoples R China

[2] Yantai Univ, 30 Qingquan Rd, Yantai 265713, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 38期

关键词：

quasilinear elliptic equations; systems; entire radial solutions; existence; POSITIVE SOLUTIONS;

D O I：

10.14232/ejqtde.2016.1.38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by a monotone iterative method and the Arzela-Ascoli theorem, we obtain the existence of entire positive radial solutions to the following quasilinear elliptic equations div(phi(1)(vertical bar del u vertical bar)del u) + a(1)(vertical bar x vertical bar)phi(1)(vertical bar del u vertical bar)vertical bar del u vertical bar = b(1)(vertical bar x vertical bar)f(u), x is an element of R-N, and systems [GRAPHICS] under simple conditions on f, f(i), a(i) and b(i) (i = 1, 2).

引用

页码：1 / 10

页数：10

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