Necessary and Sufficient Conditions of Existence for Positive Solution to a Class of Quasilinear Elliptic Systems in R N

被引：0

作者：

Zhang, Guoqing ^{[1
]}

Liu, Sanyang ^{[2
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 02期

关键词：

Quasilinear elliptic systems; Sub-super solution; Picone's identity; Existence and uniqueness; UNIQUENESS;

D O I：

10.1007/s10440-009-9473-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the necessary and sufficient conditions of existence for a positive solution to a class of non-variational quasilinear elliptic systems in R (N) . The sufficient condition of existence result bases on the Mountain Pass Lemma and the sub-super solution methods, and the necessary condition is a consequence of a Picone's identity. The system models some phenomena in different physical and other natural sciences: non-Newtonian mechanics, nonlinear elasticity and glaciology, combustion theory, population biology and so on.

引用

页码：771 / 783

页数：13

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