most citedA duality approach for variational problems in domains with cracks

2 citations · 2 across the 5 of their papers we have counts for

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5 papers

math.AP2003

The three divergence free matrix fields problem

Mariapia Palombaro, Marcello Ponsiglione

We prove that for any connected open set and for any set of matrices , with and rank for , th…

math.AP2003

A discontinuous finite element approximation of quasi-static growth of brittle fractures

A. Giacomini, M. Ponsiglione

We propose a discontinuous finite element approximation for a model of quasi-static growth of brittle fractures in linearly elastic bodies formulated by Francfort and Marigo, and b…

math.FA20022 cited

A duality approach for variational problems in domains with cracks

Francois Ebobisse, Marcello Ponsiglione

In this paper we study the asymptotic behaviour of the solutions of some minimization problems for integral functionals with convex integrands, in two-dimensional domains with crac…

math.FA2002

Stability of some unilateral free-discontinuity problems in two-dimensional domains

Francois Ebobisse, Marcello Ponsiglione

The purpose of this paper is to study the stability of some unilateral free-discontinuity problems, under perturbations of the discontinuity sets in the Hausdorff metric.

math.AP2002

A stability result for nonlinear Neumann problems under boundary variations

Gianni Dal Maso, Francois Ebobisse, Marcello Ponsiglione

In this paper we study, in dimension two, the stability of the solutions of some nonlinear elliptic equations with Neumann boundary conditions, under perturbations of the domains i…