A REDUCTION METHOD FOR PROVING THE EXISTENCE OF SOLUTIONS TO ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN

被引：0

作者：

Benalili, Mohamed ^{[1
]}

Maliki, Youssef ^{[1
]}

机构：

[1] Univ Abou Bakr BelKaid, Fac Sci, Dept Math, Tilimsen, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年

关键词：

Analysis on manifolds; semi-linear elliptic PDE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a reduction method for proving the existence of solutions to elliptic equations involving the p-Laplacian operator. The existence of solutions is implied by the existence of a positive essentially weak subsolution on a manifold and the existence of a positive supersolution on each compact domain of this manifold. The existence and nonexistence of positive supersolutions is given by the sign of the first eigenvalue of a nonlinear operator.

引用

页数：10

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