9 citations · 15 across the 9 of their papers we have counts for
15 papers
Theoretical calculations for production
Nikolaos Kidonakis, Nodoka Yamanaka
We calculate higher-order perturbative corrections for production. By adding second-order and third-order soft-gluon corrections to NLO QCD and NLO electroweak (EW) re…
Rigidity for the Pólya-Szegö inequality under circular rearrangement
F. Cagnetti, G. Domazakis, M. Perugini +1
A Pólya-Szegö inequality for the circular rearrangement is proven, under general assumptions. In addition, sufficient conditions are given, under which all the extremals of the ine…
A distributional approach to nonlocal curvature flows
Filippo Cagnetti, Massimiliano Morini, Dario Reggiani
In \cite{CMP17} a novel distributional approach has been introduced to provide a well-posed formulation of a class of crystalline mean curvature flows. In this paper, such an appro…
A global method for deterministic and stochastic homogenisation in
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under \emph{linear} growth and coercivity conditions. The main novelty of o…
Rigidity for perimeter inequality under spherical symmetrisation
Filippo Cagnetti, Matteo Perugini, Dominik Stöger
Necessary and sufficient conditions for rigidity of the perimeter inequality under spherical symmetrisation are given. That is, a characterisation for the uniqueness (up to orthogo…
Stochastic Homogenisation of Free-Discontinuity Problems
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the stochastic homogenisation of free-discontinuity functionals. Assuming stationarity for the random volume and surface integrands, we prove the existence o…
Optimal regularity and structure of the free boundary for minimizers in cohesive zone models
Luis Caffarelli, Filippo Cagnetti, Alessio Figalli
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the bou…
-Convergence of Free-discontinuity Problems
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
We study the -convergence of sequences of free-discontinuity functionals depending on vector-valued functions which can be discontinuous across hypersurfaces whose shape and…
Linearly constrained evolutions of critical points and an application to cohesive fractures
Marco Artina, Filippo Cagnetti, Massimo Fornasier +1
We introduce a novel constructive approach to define time evolution of critical points of an energy functional. Our procedure, which is different from other more established approa…
Rigidity of equality cases in Steiner's perimeter inequality
Filippo Cagnetti, Maria Colombo, Guido De Philippis +1
Characterization results for equality cases and for rigidity of equality cases in Steiner's perimeter inequality are presented. (By rigidity, we mean the situation when all equalit…
Essential connectedness and the rigidity problem for Gaussian symmetrization
Filippo Cagnetti, Maria Colombo, Guido De Philippis +1
We provide a geometric characterization of rigidity of equality cases in Ehrhard's symmetrization inequality for Gaussian perimeter. This condition is formulated in terms of a new…
A new method for large time behavior of degenerate viscous Hamilton--Jacobi equations with convex Hamiltonians
Filippo Cagnetti, Diogo Gomes, Hiroyoshi Mitake +1
We introduce a new machinery to study the large time behavior for general classes of Hamilton--Jacobi type equations, which include degenerate parabolic equations and weakly couple…
Convergence of a Numerical Scheme for the Hamilton-Jacobi Equation: a New Approach with the Adjoint Method
Filippo Cagnetti, Diogo Gomes, Hung V. Tran
We consider a numerical scheme for the one dimensional time dependent Hamilton-Jacobi equation in the periodic setting. We present a new and simple proof of the rate of convergence…
Adjoint methods for obstacle problems and weakly coupled systems of PDE
Filippo Cagnetti, Diogo Gomes, Hung Tran
The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton-Jacobi equations,…
A second order minimality condition for the Mumford-Shah functional
Filippo Cagnetti, Maria Giovanna Mora, Massimiliano Morini
A new necessary minimality condition for the Mumford-Shah functional is derived by means of second order variations. It is expressed in terms of a sign condition for a nonlocal qua…