Existence of bounded positive solutions of quasi-linear elliptic equations

被引：1

作者：

Yuan, Junli ^{[1
,2
]}

Yang, Zuodong ^{[1
,3
]}

机构：

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

[2] Nantong Univ, Sch Sci, Nantong 226006, Jiangsu, Peoples R China

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

来源：

APPLICABLE ANALYSIS | 2010年 / 89卷 / 08期

基金：

中国国家自然科学基金;

关键词：

existence; quasi-linear elliptic equation; super-solution; sub-solution; EXTERIOR DOMAINS;

D O I：

10.1080/00036811.2010.483424

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence of bounded positive solutions of a class of quasi-linear elliptic equation is obtained in exterior domain of R-N, N >= 1. Firstly, by using fixed point theory, the existence theorem of a class of ordinary differential equation is established. Then, by constructing super-solution and sub-solution, the existence of bounded positive solutions of quasi-linear elliptic equation is given. The results of this article are new and extend previously known results.

引用

页码：1229 / 1239

页数：11

共 20 条

[1]

[Anonymous], 1968, LINEAR QUASILINEAR E

[2]

[Anonymous], TRUD SEM I G PETROV

[3]

Astrita G., 1974, Principles of Non-Newtonian Fluid Mechanics

[4] Positive solutions of quasilinear elliptic equations in two-dimensional exterior domains [J].