Remarks on p-Laplacian Problems Depending on the Gradient

被引：0
|
作者：
Bueno, H. [1 ]
Ercole, G. [1 ]
机构：
[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG, Brazil
来源：
ANALYSIS AND TOPOLOGY IN NONLINEAR DIFFERENTIAL EQUATIONS: A TRIBUTE TO BERNHARD RUF ON THE OCCASION OF HIS 60TH BIRTHDAY | 2014年 / 85卷
关键词：
p-Laplacian; positive solution; sub- and super-solution method; dependence on the gradient; ELLIPTIC-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper collects and summarizes results of existence of positive solutions for the p-Laplacian problem -Delta(p)u = omega(x) f(u, vertical bar del vertical bar) with Dirichlet boundary condition in a bounded domain Omega subset of R-N, where omega is a weight function and also for the problem in two positive parameters lambda and beta: { -Delta(p)u = lambda h(x,u) + beta f(x,u,del u) in Omega u = 0 on partial derivative Omega.
引用
收藏
页码：145 / 161
页数：17
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