3 citations · 5 across the 8 of their papers we have counts for
8 papers
Normed spaces using intrinsically Lipschitz sections and Extension Theorem for the intrinsically Hölder sections
Daniela Di Donato
The purpose of this article is twofold: first of all, we want to define two norms using the space of intrinsically Lipschitz sections. On the other hand, we want to generalize an E…
The intrinsic Hopf-Lax semigroup vs. The intrinsic slope
Daniela Di Donato
In this note, we introduce a natural notion of intrinsic Hopf-Lax semigroup in the context of the so-called intrinsically Lipschitz sections. The main aims are to prove the link be…
Intrinsic Lipschitz sections of no-linear quotient maps
Daniela Di Donato
Le Donne and the author introduced the so-called intrinsically Lipschitz sections of a fixed quotient map in the context of metric spaces. Moreover, the author introduced the c…
Intrinsic Cheeger energy for the intrinsically Lipschitz constants
Daniela Di Donato
Recently, in the metric spaces, Le Donne and the author introduced the so-called intrinsically Lipschitz sections. The main aim of this note is to adapt Cheeger theory for the clas…
Intrinsically Hölder sections in metric spaces
Daniela Di Donato
We introduce a notion of intrinsically Hölder graphs in metric spaces. Following a recent paper of Le Donne and the author, we prove some relevant results as the Ascoli-Arzelà comp…
Ahlfors-David regularity of intrinsically quasi-symmetric sections in metric spaces
Daniela Di Donato
We introduce a definition of intrinsically quasi-symmetric sections in metric spaces and we prove the Ahlfors-David regularity for this class of sections. We follow a recent result…