一类p-Laplacian椭圆型方程边值问题的解

Solutions for a Class of p-Laplacian Elliptic Boundary Value Problem

本文研究了一类p-Laplacian椭圆型方程-Δpu=a(x)h(u)-b(x)f(u)齐次边值问题和奇性边值问题解的存在性,其中Δpu=div(|▽u|p-2▽u),p>1,h(u)/up-1在(0,+∞)非增,f(u)/up-1在(0,+∞)非减.

In this paper, we study the existence of solutions for a class of p-Laplacian elliptic homogenous and singular boundary value problem - △p u = a （ x ） h （u） - b （ x ）f（ u ）, where △p u = div （ ｜△ u｜^p- 2 △ u）, p 〉 1, h （u）/u^p-1 is nonincreasing in （0, ＋ ∞ ）, f（u）/u^p-1 is nondeereasing in （0, ＋ ∞ ）.