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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…