AN ELLIPTIC PROBLEM WITH DEGENERATE COERCIVITY AND A SINGULAR QUADRATIC GRADIENT LOWER ORDER TERM

被引：19

作者：

Croce, Gisella ^{[1
]}

机构：

[1] Univ Havre, Lab Math Appl, F-76063 Le Havre, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 03期

关键词：

Nonlinear elliptic problems; Dirichlet condition; degenerate coercivity; distributional solution; singular lower order term; quadratic growth; NATURAL GROWTH TERMS; QUASI-LINEAR EQUATIONS; EXISTENCE;

D O I：

10.3934/dcdss.2012.5.507

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a Dirichlet problem for an elliptic equation with degenerate coercivity and a singular lower order term with natural growth with respect to the gradient. The model problem is [GRAPHICS] where Omega is an open bounded set of R-N N >= 3 and p, theta > 0. The source f is a positive function belonging to some Lebesgue space. We will show that, even if the lower order term is singular, it has some regularizing effects on the solutions, when p > theta - 1 and theta < 2.

引用

页码：507 / 530

页数：24

共 21 条

[1]

[Anonymous], 2000, Port. Math

[2]

[Anonymous], 1957, PACIFIC J MATH

[3] Existence results for nonlinear elliptic equations with degenerate coercivity [J].