Existence of strong solutions of Pucci extremal equations with superlinear growth in Du

被引：0
|
作者：
Shigeaki Koike
Andrzej Święch
机构：
[1] Saitama University,Department of Mathematics
[2] Georgia Institute of Technology,School of Mathematics
来源：
Journal of Fixed Point Theory and Applications | 2009年 / 5卷
关键词：
35J60; 35J25; 49L25; Strong solutions; viscosity solutions; Pucci extremal equation; weak Harnack inequality;
D O I：
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学科分类号：
摘要：
We prove existence of strong solutions of Pucci extremal equations with superlinear growth in Du and unbounded coefficients. We apply this result to establish the weak Harnack inequality for Lp-viscosity supersolutions of fully nonlinear uniformly elliptic PDEs with superlinear growth terms with respect to Du.
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页码：291 / 304
页数：13
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