Existence and multiplicity of positive solutions for singular?

摘要

We prove the existence and multiplicity of positive solutions to the singular ?-Laplacian BVP{?(r(t)?(u'))'=λg(t)(f(u)?(a/(uα))),u(0)=0,u'(1)+H(u(1))=0t∈(0,1),for a certain range of the parameter λ>0, where a>0, α∈(0,1), ? is an odd, increasing and convex homeomorphism on R, and f is ?-superlinear at ∞.