5 papers
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1
We consider the functional where is convex and and we study the minimizers in of the as…
Existence of varifold minimizers for the multiphase Canham-Helfrich functional
Katharina Brazda, Luca Lussardi, Ulisse Stefanelli
We address the minimization of the Canham-Helfrich functional in presence of multiple phases. The problem is inspired by the modelization of heterogeneous biological membranes, whi…
On the anisotropic Kirchhoff-Plateau problem
Antonio De Rosa, Luca Lussardi
We extend to the anisotropic setting the existence of solutions for the Kirchhoff-Plateau problem and its dimensional reduction.
Soap film spanning an elastic link
Giulia Bevilacqua, Luca Lussardi, Alfredo Marzocchi
We study the equilibrium problem of a system consisting by several Kirchhoff rods linked in an arbitrary way and tied by a soap film, using techniques of the Calculus of Variations…
Stochastic homogenization of maximal monotone relations and applications
Luca Lussardi, Stefano Marini, Marco Veneroni
We study the homogenization of a stationary random maximal monotone operator on a probability space equipped with an ergodic dynamical system. The proof relies on Fitzpatrick's var…