Ricerc@Sapienza

We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting the magnetic field. One of the problems is the concentration limit of the other one, when the thickness of the dielectric inclusions goes to zero. The concentrated problem involves a transmission condition through
interfaces, which is mediated by a suitable Laplace-Beltrami type equation.

We prove existence and homogenization results for a family of elliptic problems involving interfaces and a singular lower order term.
These problems model heat or electrical conduction in composite media.

We prove existence and homogenization results for elliptic problems involving a singular lower order term and defined on a domain with interfaces
having a nonlinear response. The considered system of equations can model heat or electrical conduction in composite media.