16 citations · 16 across the 2 of their papers we have counts for
2 papers
math.AP2011★ 16 cited
The Steiner rearrangement in any codimension
Giuseppe Maria Capriani
We analyze the Steiner rearrangement in any codimension of Sobolev and functions. In particular, we prove a Pólya-Szegő inequality for a large class of convex integrals. Then,…
math.AP2011
A quantitative second order minimality criterion for cavities in elastic bodies
Giuseppe Maria Capriani, Vesa Julin, Giovanni Pisante
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 pro…