63 citations · 104 across the 18 of their papers we have counts for
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3 papers · 1 filter
math.AP2013★ 11 cited
Stability of equilibrium configurations of elastic films in two and three dimensions
Marco Bonacini
We establish a local minimality sufficiency criterion, based on the strict positivity of the second variation, in the context of a variational model for the epitaxial growth of ela…
math.AP2013★ 1 cited
Stable regular critical points of the Mumford-Shah functional are local minimizers
Marco Bonacini, Massimiliano Morini
In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to co…
math.AP2013★ 63 cited
Local and global minimality results for a nonlocal isoperimetric problem on R^N
Marco Bonacini, Riccardo Cristoferi
We consider a nonlocal isoperimetric problem defined in the whole space , whose nonlocal part is given by a Riesz potential with exponent . We show that critica…