Weak Solutions of Nonvariational Elliptic Equations

被引：0
|
作者：
Nadirashvili, Nikolai [1 ]
Vladut, Serge [2 ]
机构：
[1] Ctr Math & Informat, Lab Anal, Topol, Probabilite, 39 Rue F Joliot Curie, F-13453 Marseille 13, France
[2] Inst Math Luminy, F-13288 Marseille 9, France
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL III: INVITED LECTURES | 2010年
关键词：
Fully nonlinear elliptic equations; viscosity solutions; stochastic processes; triality; division algebras; Hessian equations; Isaacs equation; special Lagrangian equation; VISCOSITY SOLUTIONS; DIRICHLET PROBLEM; HESSIAN EQUATIONS; UNIQUENESS; COEFFICIENTS; DIFFUSIONS; DUALITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss basic properties (uniqueness and regularity) of viscosity solutions to fully nonlinear elliptic equations of the form F(x, D(2)u) = 0, which includes also linear elliptic equations of nondivergent form. In the linear case we consider equations with discontinuous coefficients.
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页码：2001 / 2018
页数：18
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