Roberto Alicandro

A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth

We study the asymptotic behavior, as the mesh size

Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

\varepsilon

Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems

tends to zero, of a general class of discrete energies defined on functions

Variational description of bulk energies for bounded and unbounded spin systems

u:\alpha\in\varepsilon\mathbb Z^N\cap\ \Omega\mapsto u(\alpha)\in{{\mathbb R}^d}

Domain Formation in Magnetic Polymer Composites: An Approach Via Stochastic Homogenization

of the form \begin{eqnarray*} F_{\varepsilon}(u)=\sum\limits_{ \begin{array}{ll} {\scriptstyle \alpha, \beta \in \varepsilon\mathbb Z^N} \\ \scriptstyle \symbol{91}\alpha ,\beta \symbol{93} \subset\Omega \end{array} }\hskip-0.3cm g_{\varepsilon}(\alpha,\beta,u(\alpha)-u(\beta)) \end{eqnarray*} and satisfying superlinear growth conditions. We show that all the possible varia\-tional limits are defined on

VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY ENERGIES WITH LINEAR GROWTH

W^{1,p}(\Omega;{{\mathbb R}^d})

Phase transitions in presence of surfactants: From discrete to continuum

of the local type

Integral Representation Results for Energies Defined on Stochastic Lattices and Application to Nonlinear Elasticity

\int_\Omega f(x,\nabla u)\, dx.