高维空间中一类奇异Kirchhoff型问题正解的存在性

Existence of Positive Solutions for a Class of Singular Kirchhoff Type Problems in Higher Dimensional Space

利用变分方法研究了在四维及以上空间中的一类次临界奇异Kirchhoff型问题{-(a+b∫_a|▽u|~2dx)Δu=f(x)u^p+g(x)u^(-γ) x∈Ω,u=0 x∈Ω并获得了该问题正解的存在性.

In this article, we study a class of singular Kirchhoff type problems in higher dimensional space {-（a＋b∫_a｜▽u｜~2dx）Δu=f（x）u^p＋g（x）u^（-γ） x∈Ω,u=0 x∈ΩBy the variational methods, the existence of positive solutions is obtained.