Multiple positive solutions for a class of nonlinear four-point boundary value problem with p-Laplacian

【摘要】：正This paper deals with the existence of multiple positive solutions for a class of nonlinear singular four-point boundary value problem with p-Laplacian: {(φ(u'))'+a(t)f(u(t))=0,0t1, aφ(u(0))-βφ(u'(ζ))=0,γφ(u(1))+δφ(u'(η))=0, whereφ(x)=|x|~(p-2)x,p1,a(t)may be singular at t=0 and/or t=1.By applying Leggett- Williams fixed point theorem and Schauder fixed point theorem,the sufficient conditions for the existence of multiple(at least three)positive solutions to the above four-point boundary value problem are provided.An example to illustrate the importance of the results obtained is also given.