Principal Eigenvalues for Isaacs Operators with Neumann Boundary Conditions

被引：14

作者：

Patrizi, Stefania ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2009年 / 16卷 / 01期

关键词：

Fully nonlinear uniformly elliptic operators; Isaacs operators; Neumann boundary value problems; maximum principle; principal eigenvalues; viscosity solutions; PARTIAL-DIFFERENTIAL EQUATIONS; VISCOSITY SOLUTIONS; ELLIPTIC-EQUATIONS; MAXIMUM PRINCIPLE; REGULARITY;

D O I：

10.1007/s00030-008-7042-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we show the existence of two principal eigenvalues associated to general non-convex fully nonlinear elliptic operators with Neumann boundary conditions in a bounded C-2 domain. We study these objects and we establish some of their basic properties. Finally, Lipschitz regularity, uniqueness and existence results for the solution of the Neumann problem are given.

引用

页码：79 / 107

页数：29

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