11 citations · 22 across the 13 of their papers we have counts for
3 papers · 1 filter
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…
On the selection of a particular class of solutions to a system of eikonal equations
Gisella Croce, Giovanni Pisante
In this article we consider a system of eikonal equations with a Dirichlet boundary condition. We propose a variational method to select the class of solutions which minimize the d…
An isoperimetric inequality for a nonlinear eigenvalue problem
Gisella Croce, Antoine Henrot, Giovanni Pisante
We prove an isoperimetric inequality of the Rayleigh-Faber-Krahn type for a nonlinear generalization of the first twisted Dirichlet eigenvalue. More precisely, we show that the min…