W2,p and W1,p-Estimates at the Boundary for Solutions of Fully Nonlinear, Uniformly Elliptic Equations

被引：0
|
作者：
Winter, Niki [1 ]
机构：
[1] Univ Aachen, Rhein Westfal TH Aachen, Inst Math, D-52056 Aachen, Germany
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2009年 / 28卷 / 02期
关键词：
Viscosity solutions; uniformly elliptic equations; W-2; W-p-regularity; W-1; PARTIAL-DIFFERENTIAL EQUATIONS; VISCOSITY SOLUTIONS;
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 paper we extend Caffarelli's result on interior W-2,W-p-estimates for viscosity solutions of uniformly elliptic equations and prove W-2,W-p-estimates at a flat boundary. Moreover we extend a result of A. Swiech and prove W-1,W-p-estimates at the boundary. Thereafter we combine these results and prove global W-2,W-p-estimates for equations with dependence on Du and u. Finally, we show that the previous estimates lead to an existence result for W-2,W-p-strong solutions.
引用
收藏
页码：129 / 164
页数：36
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