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：

暂无

中图分类号：

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.

引用

页码：291 / 304

页数：13

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