POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN

被引：0

作者：

Kong, Qingkai ^{[1
]}

Wang, Min ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年

关键词：

Boundary value problem with p-Laplacian; positive solution; existence and nonexistence; eigenvalue criteria; fixed point; index theory;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a class of boundary value problems with p-Laplacian. By using a "Green-like" functional and applying the fixed point index theory, we obtain eigenvalue criteria for the existence of positive solutions. Several explicit conditions are derived as consequences, and further results are established for the multiplicity and nonexistence of positive solutions. Extensions are also given to partial differential BVPs with p-Laplacian defined on annular domains.

引用

页数：16

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