一类平面上非线性椭圆型方程正整解的存在性

摘要

In this paper,our aim is to establish the theorems of existence of positive entire solutions for a class of nonlinear elliptic equations Δu = f (x ,u ,▽u )uβ,(x ∈ R2 ,0 <β< 1 ),and present the properties of the solutions.%建立一类非线性椭圆型方程Δu ＝f (x ,u ,▽u )uβ,(x ∈R2,0＜β＜1)正整解存在性定理,并给出解的有关性质。