Multiple positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian

作者：Wang Youyu^*; Ge Weigao

来源：Journal of Mathematical Analysis and Applications, 2007, 327(2): 1381-1395.

DOI：10.1016/j.jmaa.2006.05.023

• positive solutions
• boundary value problems
• one-dimensional p-Laplacian
• fixed point theorem

In this paper we consider the multiplicity of positive solutions for the one-dimensional p-Laplacian differential equation (phi(p)(u'))' + q(t)f(t, u, u') = 0, t is an element of (0, 1), subject to some boundary conditions. By means of a fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of multiple positive solutions to some multipoint boundary value problems.

• 出版日期2007-3-15
• 单位北京理工大学; 天津财经大学