6 papers
A jumping problem for quasilinear elliptic equations with right hand side measure
Michele Colturato, Marco Degiovanni
We consider a quasilinear elliptic equation with right hand side measure, in which the lower order term has a behavior of jumping type. By means of techniques of degree theory, we…
Global existence for a highly nonlinear temperature-dependent system modeling nonlocal adhesive contact
Giovanna Bonfanti, Michele Colturato, Riccarda Rossi
In this paper we analyze a new temperature-dependent model for adhesive contact that encompasses nonlocal adhesive forces and damage effects, as well as nonlocal heat flux contribu…
Global existence for a singular phase field system related to a sliding mode control problem
Pierluigi Colli, Michele Colturato
In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logar…
On a class of conserved phase field systems with a maximal monotone perturbation
Michele Colturato
We prove existence and regularity for the solutions to a Cahn-Hilliard system describing the phenomenon of phase separation for a material contained in a bounded and regular domain…
Solvability of a class of phase field systems related to a sliding mode control problem
Michele Colturato
We consider a phase-field system of Caginalp type perturbed by the presence of an additional maximal monotone nonlinearity. Such a system arises from a recent study of a sliding mo…
A Fredholm alternative for quasilinear elliptic equations with right hand side measure
Michele Colturato, Marco Degiovanni
We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the F…