31 citations · 160 across the 58 of their papers we have counts for
8 papers · 1 filter
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…
Penalization via global functionals of optimal-control problems for dissipative evolution
Lorenzo Portinale, Ulisse Stefanelli
We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a n…
Crystallization in a one-dimensional periodic landscape
Manuel Friedrich, Ulisse Stefanelli
We consider the crystallization problem for a finite one-dimensional collection of identical hard spheres in a periodic energy landscape. This issue arises in connection with the i…
An order approach to SPDEs with antimonotone terms
Luca Scarpa, Ulisse Stefanelli
We consider a class of parabolic stochastic partial differential equations featuring an antimonotone nonlinearity. The existence of unique maximal and minimal variational solutions…
Pinning of Interfaces by Localized Dry Friction
Luca Courte, Patrick Dondl, Ulisse Stefanelli
We consider a model for the evolution of an interface in a heterogeneous environment governed by a parabolic equation. The heterogeneity is introduced as obstacles exerting a local…
Doubly nonlinear stochastic evolution equations
Luca Scarpa, Ulisse Stefanelli
We present an existence theory for martingale and strong solutions to doubly nonlinear evolution equations in a separable Hilbert space in the form $$d(Au) + Bu\,dt \ni F(u)\,dt +…