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

页码：145 / 161

页数：17

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