16 citations · 19 across the 8 of their papers we have counts for
6 papers · 1 filter
A momotonicity approach to nonlinear Dirichlet problems in perforated domains
Gianni Dal Maso, Igor V. Skrypnik
We study the asymptotic behaviour of solutions to Dirichlet problems in perforated domains for nonlinear elliptic equations associated with monotone operators. The main difference…
Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
Gianni Dal Maso, Maria Giovanna Mora, Massimiliano Morini
Using a calibration method, we prove that, if is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set , and the disc…
The Calibration Method for Free Discontinuity Problems
G. Dal Maso
The calibration method is used to identify some minimizers of the Mumford-Shah functional. The method is then extended to more general free discontinuity problems.
Uniqueness of solutions to Hamilton-Jacobi equations arising in the Calculus of Variations
G. Dal Maso, H. Frankowska
We prove the uniqueness of the viscosity solution to the Hamilton-Jacobi equation associated with a Bolza problem of the Calculus of Variations, assuming that the Lagrangian is aut…
Value Functions for Bolza Problems with Discontinuous Lagrangians and Hamilton-Jacobi Inequalities
G. Dal Maso, H. Frankowska
We investigate the value function of the Bolza problem of the Calculus of Variations $$ V (t,x)=\inf \{\int_{0}^{t} L (y(s),y'(s))ds + ϕ(y(t)) : y \in W^{1,1} (0,t; R^n) ; y(0)=x \…
Some properties of the solutions of obstacle problems with measure data
P. Dall'Aglio, G. Dal Maso
We study some properties of the obstacle reactions associated with the solutions of unilateral obstacle problems with measure data. These results allow us to prove that, under very…