非线性奇性椭圆型问题解的存在性

On the Existence of Solution to Nonlinlar Singular Elliptic Equations

本文讨论丁系数b_1中可以有K≥1个具有形如的奇性非线性椭圆方程解的存在性,推广了Lo,C.Y.和Dunigor,D.R.等人工作的相应的结果。

Consider the following nonlinear elliptic equation in a bounded domain G of the half space ∩j=pn {x|xj≥0}(p=1, 2,…,n) with boundary G=(∩i=pn Si)∪S, where Si is contained in the hyperplane xi = 0 (i=p,…,n) andSi≠φ, Si∩Si=φ(i≠j).The coefficients bi satisfy singularity conditions limxibj<λ at xi=0. In the paper the existence theorem for D problem and E problem are established.