带梯度项的半线性椭圆方程正整体解的存在性（英文）

Existence of Positive Entire Solutions of Semilinear Elliptic Problems With Convection Terms

本文应用上下解方法、摄动方法等,进一步推广了早期结果并给出半线性椭圆方程-△u+p(x)|▽u|~γ=λf(x,u),u>0,x∈R^N,lim_(|x|→∞)u(x)=0,正解的存在性,其中γ∈(1,2],λ>0,函数p:R^N→[0,∞)和f:R^N×(0,∞)→[0,∞)均为局部H(o|¨)lder连续.

By a sub-supersolution method and a perturbed argument, we extend the earlier results concerning the existence of positive solutions for the following semilinear elliptic problem -△u＋p（x）｜▽u｜γ=λf（x,u）,u〉0,x∈R N,lim ｜x｜→∞u（x）=0,where γ∈（1,2],λ〉0,and P：R N→[0,∞）and f：R N×（0,∞）→[0,∞） are locally Holder continuous.