奇异一维p-Laplacian方程多点边值问题正解的存在性

The Existence of Positive Solution of Multi-Point Boundary Value Problem for the One-Dimensional p-Laplacian with Singularities

本文研究具有p-Laplacian算子的奇异多点边值问题正解的存在性,其中f(t,u)可以在u=0奇异,q(t)可以在t=0或t=1奇异。

In this paper, we get positive solutions of the following nonlinear multi-point singular boundary value problem with p-Laplacian operator {（Фp（u＇））＇＋q（t）f（t,u）=0,0〈t〈1;u（0）=∑n i=1 αiu（ηi）,u（i）∑n i=1 βiu（ηi） where f（t, u） may be singular at u = 0 and q（t） may be singular at t = 0 or t = 1.