En esta tesis se estudiaron tres problemas relacionados a ecuaciones de reacción difusión elípticas sublineales y singulares cuando el término de reacción cambia de signo. En primer lugar se trató la existencia y no ...

In this paper, we analyze the behavior of a family of solutions of a nonlinear elliptic equation with nonlinear boundary conditions, when the boundary of the domain presents a highly oscillatory behavior, which is uniformly ...

In the context of the theory of nonlinear magneto-elastic deformations, the problem of the extension (shortening) of a cylinder of finite length under the influence of a magnetic field applied far away in free space is ...

In this paper, we investigate the behavior of a family of steady-state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a e-neighborhood of a portion G of the ...

We consider the elliptic equation -Delta u+u=O in a bounded, smooth domain ohm in R(2) subject to the nonlinear Neumann boundary condition delta u/delta v = epsilon e(u). Here epsilon > 0 is a small parameter. We prove ...

We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a ϕ-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray–Schauder ...

An iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties ...

The aim of this paper is to obtain nonlinear operators in suitable func-tion spaces whose fixed points coincide with the solutions of the nonlinear boundary value problems (φ(u ′)) ′ = f (t, u, u ′), l(u, u ′) = 0, where ...