The Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian

Authors: XIANG-FENG LI, PEI-HAO ZHAO

Abstract: This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (\varphi_p(u'(t)))'+a(t)f(t,u(t),u'(t))=0, 01. By using the Avery-Peterson fixed point theorem, sufficient conditions for the existence of at least three positive solutions to the boundary value problem mentioned above are obtained.

Keywords: p-Laplacian; Avery-Peterson fixed-point theorem; positive solution; boundary value problem

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