The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator

In this paper, we study the existence of countable many positive solutions for a class of nonlinear singular boundary value systems with p-Laplacian operator:{(ϕp1(u′))′+a1(t)f(u,v)=0,01, f, g are lower semi-continuous functions, ai(t) has countable many singularities on (0,12), i=1,2. By using the fixed-point theorem of cone expansion and compression of norm type, the existence of countable many positive solutions for nonlinear singular boundary value system with p-Laplacian operator are obtained.