3 papers
math.AP2026
Michael-Simon inequality for anisotropic energies close to the area via multilinear Kakeya-type bounds
Guido De Philippis, Alessandro Pigati
Given an anisotropic integrand , we can generalize the classical isotropic area by looking at the functional $$\mathcal{F}(Σ^k):=\int_ΣF(…
math.DG2025
Nonabelian Yang-Mills-Higgs and Plateau's problem in codimension three
Davide Parise, Alessandro Pigati, Daniel Stern
We investigate the asymptotic behavior of the -Yang-Mills-Higgs energy in the large mass limit, proving convergence to the codimen…
math.AP2024
Decay of excess for the abelian Higgs model
Guido De Philippis, Aria Halavati, Alessandro Pigati
In this article we prove that entire critical points of the self-dual -Yang-Mills-Higgs functional , with energy $$E_1(u,\nabla;B_R):=\int_{B_R}\left[|\nabl…