L∞-Estimates for nonlinear elliptic problems with p-growth in the gradient

被引:58
|
作者
Ferone, V
Posteraro, MR
Rakotoson, JM
机构
[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy
[2] Univ Poitiers, Dept Math, F-86022 Poitiers, France
来源
关键词
nonlinear elliptic equations; A priori estimates; rearrangements;
D O I
10.1155/S1025583499000077
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider the Dirichlet problem for a class of nonlinear elliptic equations whose model is -div(\del u\(p-2)del u) = \del u\(p) + g - div f. We give a priori L-infinity-estimates using symmetrization methods. An obstacle problem for nonlinear variational inequalities is also studied.
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页码:109 / 125
页数:17
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