Two positive solutions for a nonlinear four-point boundary value problem with a p-Laplacian operator

Ruixi Liang, Hunan Normal University, Changsha, Hunan, P. R. China
Jun Peng, Central South University, Changsha, Hunan, P. R. China
Jianhua Shen, College of Huaihua, Huaihua, Hunan, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 18. (2008), pp. 1-10.

Communicated by J. R. Graef. Received on 2008-01-16
Appeared on 2008-04-25

Abstract: In this paper, we study the existence of positive solutions for a nonlinear four-point boundary value problem with a $p$-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a $p$-Laplacian operator is obtained. This is different than previous results.


You can download the full text of this paper in DVI, PostScript or PDF format.