Antonio De Rosa

collaborators

4 papers

math.AP2025

Non-polyconvex $Q$ -integrands with lower semicontinuous energies

Daniele De Gennaro, Antonio De Rosa

We construct a positive measure on the space of positively oriented $2$ -vectors in $R^{4}$ , whose barycenter is a simple $2$ -vector, yet which cannot be approximated by weig…

math.AP2025

Rigidity of critical points of hydrophobic capillary functionals

Antonio De Rosa, Robin Neumayer, Reinaldo Resende

We prove the rigidity, among sets of finite perimeter, of volume-preserving critical points of the capillary energy in the half space, in the case where the prescribed interior con…

math.AP2025

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds

Antonio De Rosa, Robin Neumayer

Local minimizers for the anisotropic isoperimetric problem in the small-volume regime on closed Riemannian manifolds are shown to be geodesically convex and small smooth perturbati…

math.AP2025

The double and triple bubble problem for stationary varifolds: the convex case

Antonio De Rosa, Riccardo Tione

We characterize the critical points of the double bubble problem in $R^{n}$ and the triple bubble problem in $R^{3}$ , in the case the bubbles are convex.

Non-polyconvex Q-integrands with lower semicontinuous energies

Rigidity of critical points of hydrophobic capillary functionals

Local Minimizers of the Anisotropic Isoperimetric Problem on Closed Manifolds

The double and triple bubble problem for stationary varifolds: the convex case

Non-polyconvex $Q$ -integrands with lower semicontinuous energies