一类无界域上非线性二阶椭圆方程粘性解的存在性  

On the Existence of Viscosity Solutions of a Class of Nonlinear Second-order Elliptic Equations on Unbounded Domains

作　　者：虞斌[1] 易青[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2011年第1期74-77,共4页Journal of Nanchang Hangkong University(Natural Sciences)

摘　　要：文章考虑一类无界域上非线性二阶椭圆方程狄利克雷问题,证明了比较原理,通过构造上、下解,并利用Perron方法证明了该问题粘性解的存在性与唯一性.In this paper,the comparison principle for Dirichlet problem of a class of second-order nonlinear elliptic equations on unbounded domains is proved.Furthermore,the existence and uniqueness of viscosity solution of the problem are proved by constructing subsolution and supersolution together by applying Perron＇s method.

关 键 词：非线性二阶椭圆方程 狄利克雷问题 粘性解 比较原理 

分 类 号：O175.29[理学—数学]