Solvability of Uniformly Elliptic Fully Nonlinear PDE

被引：0
作者：
Boyan Sirakov
机构：
[1] UFR SEGMI,
[2] CAMS,undefined
来源：
Archive for Rational Mechanics and Analysis | 2010年 / 195卷
关键词：
Elliptic Equation; Dirichlet Problem; Viscosity Solution; Strong Solution; Harnack Inequality;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We get existence, uniqueness and non-uniqueness of viscosity solutions of uniformly elliptic fully nonlinear equations of the Hamilton–Jacobi–Bellman–Isaacs type with unbounded ingredients and quadratic growth in the gradient without hypotheses of convexity or properness. Some of our results are new even for equations in divergence form.
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页码：579 / 607
页数：28
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