Dead Core Problems for Singular Equations with φ-Laplacian

Abstract

The paper discusses the existence of positive solutions, dead core solutions, and pseudo dead core solutions of the singular problem (φ(u )) + f (t,u ) = λg (t,u,u )Here λ is a positive parameter, β ≥ 0, α, A > 0, f may be singular at t = 0 and g is singular at u = 0.

Positive solutions for singular boundary value problems of a coupled system of differential equations

“…In recent years, singular boundary value problems (BVP for short) to second or fourth order ordinary differential equations have been studied extensively (see, for example, [1][2][3][4][5][6] and references therein). Naturally we hope there are same excellent results on singular boundary value problems to the coupled system of second and fourth order ordinary differential equations.…”