期刊论文

中文

数学研究及应用：英文版

2095-2651

1997

17

4

612-616

国家教委留学回国人员资助金 电力部电力新星基金

本校为第一机构

本文利用伪单调算子理论研究如下变分不等式问题：求ｘ∈Ｍ，使得〈Ａｘ，ｙ－ｘ〉＋〈Ｇｘ，ｙ－ｘ〉≥〈ｆ，ｙ－ｘ〉，ｙ∈Ｍ．并将所得结果应用于拟线性椭圆型边值问题的求解．

In virtue of the theory of pseudomonotone operators, we deal with the following nonlinear quasi variational inequalities. Find x∈M, such that〈Ax,y-x〉+〈Gx,y-x〉≥〈f,y-x〉, y∈M.As applications of the above theorem, boundary value problems for quasi linear elliptic equ...