中文摘要：

运用Leray-Schauder不动点定理，研究了含有一维P—Laplacian算子的非线性三点边值问题解的存在性．结果表明：如果非线性项在其定义域的某个有界子集的“高度”是适当的，那么该问题必存在解或正解．

英文摘要：

In this paper, we are concerned with the nonlinear three-point boundary value problems with one-dimensional p-Laplacian operator. By using Leray-Schauder fixed point theorem, the existence of solution is established for the class of equations. The main results show that the class of equations has at least one solution or positive solution if the ＂height＂ of nonlinear term is appropriate on a bounded subset of its domain.