Ahlfors regularity of continua that minimize maxitive set functions
D Zucco - Journal of Mathematical Analysis and Applications, 2025 - Elsevier
The primary objective of this paper is to establish the Ahlfors regularity of minimizers of set
functions that satisfy a suitable maxitive condition on disjoint unions of sets. Our analysis …
functions that satisfy a suitable maxitive condition on disjoint unions of sets. Our analysis …
Convex duality for principal frequencies
L Brasco - arXiv preprint arXiv:2105.09054, 2021 - arxiv.org
We consider the sharp Sobolev-Poincar\'e constant for the embedding of $ W^{1, 2} _0
(\Omega) $ into $ L^ q (\Omega) $. We show that such a constant exhibits an unexpected …
(\Omega) $ into $ L^ q (\Omega) $. We show that such a constant exhibits an unexpected …