Applications of Mathematics
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ 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.
Agarwal, R. P., O'Regan, D., & Staněk, S. (2008). Dead cores of singular dirichlet boundary value problems with φ-laplacian. Applications of Mathematics, 53(4), 381-399.