Positive solutions for a system of p-Laplacian boundary value problems

Authors:
Zhilin Yang
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

This paper is concerned with the existence and multiplicity of positive solutions for the system of p-Laplacian boundary value problems -((u"i^')^p^"^i^-^1)^'=f"i(t,u"1,...,u"n),u"i(0)=u"i^'(1)=0,i=1,...,n, where n=2, p"i1, f"i@?C([0,1]xR"+^n,R"+)(i=1,...,n,R"+:=[0,~)). Based on a priori estimates achieved by utilizing the Jensen integral inequalities and R"+^n-monotone matrices, we use fixed point index theory to establish the existence and multiplicity of positive solutions for the above problem.