We consider the Laplace equation in the half-space satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ...

In this paper we consider a class of nonlinear singularly perturbed elliptic problems of the form ε2 Δu - u + f(u) = 0 in Ω, for a superlinear, subcritical function f. Here Ω a smooth bounded domain, ε > 0 is a small ...

We are interested in finding a family of solutions of a singularly perturbed biharmonic equation, which has a concentration behavior. The proof is based on variational methods and uses a weak version of the Ambrosetti-Rabinowitz ...

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 ...

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 ...