MULTIPLICITY OF POSITIVE SOLUTIONS TO MULTIPOINT BOUNDARY VALUE PROBLEM WITH ONE-DIMENSIONAL p-LAPLACIAN

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2010,（4）
• 页码范围: 484-493
• 页数: 10页
• 分类号: O17

摘要

In this paper, we consider a multipoint boundary value problem for one-dimensional p-Laplacian. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the boundary value problem. In this problem, the nonlinear term explicitly involves a first-order derivative, which is different from some previous ones.