一类非线性拟变分不等式及其应用

A Class of Nonlinear Quasi-Variational Inequalities and Applications

中文关键词:  变分不等式  边值问题  单调映射  半线性方程．

英文关键词:variational inequalities  boundary value problem  monontone mappings  semi-linear equations.

中文摘要:

      本义研究了如下变分不等式问题：求ｕ∈Ｍ使得ａ（ｕ，ｖ－ｕ）＋〈Ｇｕ，ｖ－ｕ〉≥（ｆ，ｖ－ｕ），(?)ｕ∈Ｍ．并将所得结论应用于二阶半线性椭圆型边值问题的求解．

英文摘要:

      We consider the following nonlinear quasi-variational inequalities) find u∈M,such that ａ（ｕ，ｖ－ｕ）＋〈Ｇｕ，ｖ－ｕ〉≥（ｆ，ｖ－ｕ），(?)ｕ∈Ｍ． As applications of the above theorem,the boundary value problems for second order el-liptic equations have been solved.