On the existence of multiple positive entire solutions for a quasilinear elliptic systems

被引：8

作者：

Miao, Qing ^{[1
]}

Yang, Zuodong ^{[1
,2
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Peoples R China

[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 198卷 / 01期

基金：

中国国家自然科学基金;

关键词：

quasilinear elliptic equation; entire positive solution; existence;

D O I：

10.1016/j.amc.2007.08.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, our main purpose is to establish the existence of infinitely positive bounded entire solutions of second order quasilinear elliptic systems. These extend a work of Zuodong Yang [Zuodong Yang, Existence of positive bounded entire solutions of quasilinear elliptic equations, Appl. Math. Comput. 156 (2004) 743-754], which considered the single quasilinear elliptic equation. These extend also a work of Kawano and Kusano [N. Kawano, T. Kusano, On positive entire solutions of a class of second order semilinear elliptic systems, Math. Zeitschrift 186 (3) (1984) 287-297] which studied the semilinear elliptic equation. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：12 / 23

页数：12

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