BOUNDED WEAK SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS

被引：0
|
作者：
El Hachimi, Abderrahmane [1 ]
Igbida, Jaouad [1 ]
机构：
[1] Fac Sci, UFR Math Appliquees & Ind, El Jadida, Morocco
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2009年 / 10期
关键词：
Nonlinear elliptic equations; critical growth; absorption terms; existence; a priori estimates; weak solutions; NATURAL GROWTH TERMS; EXISTENCE;
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 work, we are concerned with a class of elliptic problems with both absorption terms and critical growth in the gradient. We suppose that the data belong to L-m(Omega) with m > n/2 and we prove the existence of bounded weak solutions via L-infinity-estimates. A priori estimates and Stampacchia's L-infinity-regularity are our main ingredient.
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页码：1 / 16
页数：16
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