3 papers
math.DG2025
Generic regularity of isoperimetric regions in dimension eight
Kobe Marshall-Stevens, Gongping Niu, Davide Parise
We establish generic regularity results for isoperimetric regions in closed Riemannian manifolds of dimension eight. In particular, we show that every isoperimetric region has a sm…
math.DG2025
Symmetric log-epiperimetric inequality for harmonic maps with analytic target and applications
Riccardo Caniato, Davide Parise
We establish a direct symmetric (log)-epiperimetric inequality for harmonic maps with analytic target and we leverage on this result to achieve a new proof of Simon's celebrated un…
math.DG2024
Almost minimizing YangMills fields: log-epiperimetric inequality, non-concentration, and uniqueness of tangents
Riccardo Caniato, Davide Parise
We establish a direct log-epiperimetric inequality for YangMills fields in arbitrary dimension and we leverage on it to prove uniqueness of tangent cones with isolated singulari…