Gamma-convergence of nonlocal perimeter functionals

Relaxation and Gamma-convergence of supremal functionals

Sunto. Si prova che il Γ-limite in Lμ di una successione di funzionali supremali della forma Fk(u) = μ-ess supΩ fk(x, u) é un funzionale supremale. In un controesempio si mostra che la funzione che rappresenta il Γ-limite F (·, B) di una successione di funzionali supremali della forma Fk(u,B) = μ-ess supB fk(x, u) puó dipendere dall’insieme B e si stabilisce una condizione necessaria e sufficie...

Some Remarks on Rearrangement for Nonlocal Functionals

We prove that a nonlocal functional approximating the standard Dirichlet p-norm fails to decrease under two-point rearrangement. Furthermore, we get other properties related to this functional such as decay and compactness.

A note on non lower semicontinuous perimeter functionals on partitions

We consider isotropic non lower semicontinuous weighted perimeter functionals defined on partitions of domains in R. Besides identifying a condition on the structure of the domain which ensures the existence of minimizing configurations, we describe the structure of such minima, as well as their regularity.

Gamma-Convergence of Discrete Functionals with Nonconvex Perturbation for Image Classification

Convergence of Integral Functionals of Stochastic Processes

We are grateful to the referees and Benedikt Pötscher for their helpful and constructive comments+ The research of the first author was partially supported by OTKA grants T37668 and T43037 and NSF-OTKA grant INT0223262+ The research of the second author was partially supported by NATO grant PST+EAP+CLG 980599 and NSF-OTKA grant INT-0223262+ Address correspondence to István Berkes, Graz Universi...