拟线性椭圆型H-半变分不等式  

On Quasilinear Elliptic Hemivariational Inequalities

作　　者：刘振海[1] 

机构地区：[1]长沙电力学院数学系

出　　处：《应用数学和力学》1999年第2期211-216,共6页Applied Mathematics and Mechanics

基　　金：博士后基金;留学归国人员基金;电力部新星基金

摘　　要：本文研究一类拟线性椭圆型Ｈ＿半变分不等式，即研究具有非凸、非光滑泛函的椭圆型不等式·这类问题的研究来自力学·利用Ｃｌａｒｋｅ广义梯度和伪单调算子理论，我们证明了拟线性椭圆型Ｈ＿半变分不等式解的存在性·In the present paper, quasilinear elliptic hemivariational inequalities as a generalization to nonconvex functionals of the elliptic variational inequalities are studied. This extension is strongly motivated by various problems in mechanics. By using the notion of the generalized gradient of Clarke and the theory of pseudomonotone operators, the existence of solutions is proved.

关 键 词：H-半变分不等式 椭圆型问题 拟线性 变分不等式 

分 类 号：O176[理学—数学] O175.25[理学—基础数学]