MULTIPLE SYMMETRIC POSITIVE SOLUTIONS TO FOUR-POINT BOUNDARY-VALUE PROBLEMS OF DIFFERENTIAL SYSTEMS WITH P-LAPLACIAN

作者：Feng Hanying^*; Bai Donglong; Feng Meiqiang

来源：Electronic Journal of Differential Equations, 2012, 95.

• Four-point boundary-value problem
• differential system
• fixed point theorem
• symmetric positive solution
• one-dimensional p-Laplacian

In this article, we study the four-point boundary-value problem with the one-dimensional p-Laplacian
(phi(pi)(u(i)'))' + q(i)(t)f(i)(t, u(1), u(2)) = 0, t is an element of (0, 1), i = 1, 2; u(i)(0) - g(i)(u(i)'(xi)) = 0, u(i)(1) + g(i)(u(i)'(eta)) = 0, i = 1, 2.
We obtain sufficient conditions such that by means of a fixed point theorem on a cone, there exist multiple symmetric positive solutions to the above boundary-value problem. As an application, we give an example that we illustrates our results.

• 出版日期2012-6-10