We show how some problems coming from different fields of applied sciences such as physics, engineering, biology, admit a common variational formulation characterized by the competition of twoâ€¦ (More)

We study variational models for flexural beams and plates interacting with a rigid substrate through an adhesive layer. The general structure of the minimizers is investigated and some propertiesâ€¦ (More)

We study a variational problem involving material shapes, modeled as Radon measures on a given ambient space, in a force vector field. We prove some properties of absolutely continuity of the optimalâ€¦ (More)

We study a simple mechanical model whose aim is to reproduce basic physical mechanisms behind reversible surface attachment-detachment under quasi-static loading. At the micro level the adhesiveâ€¦ (More)

Some variational models have been recently introduced to the aim of modeling ramified structures, such as trees, rivers and so on. We introduce a general scheme in which the notion of transportâ€¦ (More)

â€“ The paper deals with the problem of minimizing a free discontinuity functional under Dirichlet boundary conditions. An existence result was known so far for C1(âˆ‚ ) boundary dataÃ». We show here thatâ€¦ (More)

We study the mechanics of a reversible decohesion (unzipping) of an elastic layer subjected to quasi-static end-point loading. At the micro level the system is simulated by an elastic chain ofâ€¦ (More)

The problem of mass minimization for elastic bodies is much studied and represents a continuous source of interest with respect to optimization theory as well as to structural design. Over the recentâ€¦ (More)

The predictive accuracy of stateâ€“ofâ€“theâ€“art continuum models for charge transport in organic semiconductors is highly dependent on the accurate tuning of a set of parameters whose values cannot beâ€¦ (More)