Maximum principle and existence of Lp-viscosity solutions for fully nonlinear uniformly elliptic equations with measurable and quadratic terms

被引：22
|
作者：
Koike, S [1 ]
Swiech, A
机构：
[1] Saitama Univ, Dept Math, Urawa, Saitama 3388570, Japan
[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2004年 / 11卷 / 04期
关键词：
L-p-viscosity solution; fully nonlinear equation; uniformly elliptic equation; maximum principle;
D O I：
10.1007/s00030-004-2001-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study L-p-viscosity solutions of fully nonlinear, second-order, uniformly elliptic partial differential equations (PDE) with measurable terms and quadratic nonlinearity. We present a sufficient condition under which the maximum principle holds for L-p-viscosity solution. We also prove stability and existence results for the equations under consideration.
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页码：491 / 509
页数：19
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