Dead cores of singular dirichlet boundary value problems with ϕ-laplacian

Abstract

The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda is the positive parameter, A > 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.