一类P-强制变分不等方程及其应用

A class of P-Coercive variational inequalities and its application

:建立了变分不等方程〈Au,u - v〉 + j(u) - j(v)≤〈f ,u - v〉, v∈ K的解的存在性定理 ,其中凸泛函 j(v)不必是半可加的 ,A是 j- P -强制算子 .并应用于Von Karman方程的障碍问题 .

In this paper, some existence theorems for a class of variational inequalities have been established, where convex functional is not necessarily semi additive andis a P coercive operator. An application to the study of an obstacle problem for von Karmans equation is given.