VISCOSITY SOLUTIONS OF FULLY NONLINEAR 2ND-ORDER ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS

被引：366

作者：

ISHII, H ^{[1
]}

LIONS, PL ^{[1
]}

机构：

[1] UNIV PARIS 09,CEREMADE,F-75775 PARIS 16,FRANCE

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1990年 / 83卷 / 01期

关键词：

D O I：

10.1016/0022-0396(90)90068-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate comparison and existence results for viscosity solutions of fully nonlinear, second-order, elliptic, possibly degenerate equations. These results complement those recently obtained by R. Jensen and H. Ishii. We consider various boundary conditions like for instance Dirichlet and Neumann conditions. We also apply these methods and results to quasilinear Monge-Ampère equations. Finally, we also address regularity questions. © 1990.

引用

页码：26 / 78

页数：53

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