arXiv subjects

Giuseppe Maria Capriani

Publications and source records attributed to Giuseppe Maria Capriani.

2 recordsLinked to original sources

arXiv2013

A quantitative second order minimality criterion for cavities in elastic bodies

We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also provide a quantitative estimate.

math.AP↗

arXiv2012

The Steiner rearrangement in any codimension

We analyze the Steiner rearrangement in any codimension of Sobolev and $BV$ functions. In particular, we prove a Pólya-Szegő inequality for a large class of convex integrals. Then, we give minimal assumptions under which functions attaining equality are necessarily Steiner symmetric.

math.AP↗