一类拟线性椭圆变分不等式解的存在性(英文)  

Existence of Solutions for a Class of Quasilinear Elliptic Variational Inequality

作　　者：常高[1] 沈自飞[1] 程小力[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,金华321004

出　　处：《应用泛函分析学报》2010年第3期210-215,共6页Acta Analysis Functionalis Applicata

基　　金：National Nature Science Foundation of China(10771141);Natural Science Foundation of Zhejiang Province(Y7080008)

摘　　要：考虑了一类p-Laplacian拟线性椭圆变分不等式问题,通过运用优化理论中的补偿法和Clark次微分性质,研究了这类椭圆变分不等式解的存在性.In this paper,we consider a class of quasilinear elliptic variational inequality involving p-Laplacian,by using the penalty method from optimization theory and properties of Clark subdifferential, the existence of solutions for the problem is obtained.

关 键 词：变分不等式 P-LAPLACIAN算子 补偿法 第一特征值 局部LIPSCHITZ函数 

分 类 号：O175.29[理学—数学] O241.82[理学—基础数学]