Singular Reaction-Diffusion Boundary Value Problems

Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with ϕ-Laplacian

“…Papers 6, 7 discuss also the existence and multiplicity of positive and dead core solutions of the singular differential equation u λg u satisfying the boundary conditions u 0 0, βu 1 αu 1 A and u 0 1, u 1 1, respectively, and present numerical solutions. These problems are mathematical models for steady-state diffusion and reactions of several chemical species see, e.g., 4,5,8,9 . Positive and dead-core solutions to the third-order singular differential equation…”

Dead cores of singular Dirichlet boundary value problems with ϕ-Laplacian

“…Problem (1.1), (1.2) is a mathematical model for steady-state diffusion and reactions of several chemical species (see, e.g., [1], [4], [6], [7]). …”

Dead Core Problems for Singular Equations with φ-Laplacian

“…The study of problem (1.1), (1.2) was motivated from the paper by Baxley and Gersdorff [2]. Here the singular reaction-diffusion boundary value problem…”

“…The authors presented conditions guaranteeing that for sufficiently small positive λ problem, (1.4) has a positive solution and for sufficiently large λ, it has a dead core solution (see [2,Theorem 17]). We notice that the inspiration for paper [2] were the results by Bobisud [3] dealing with the Robin problem…”

“…We notice that the inspiration for paper [2] were the results by Bobisud [3] dealing with the Robin problem…”