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pro vyhledávání: '"LEONI, GIOVANNI"'
This paper addresses a two-dimensional sharp interface variational model for solid-state dewetting of thin films with surface energies, introduced by Wang, Jiang, Bao, and Srolovitz in \cite{jiang2016solid}. Using the $H^{-1}$-gradient flow structure
Externí odkaz:
http://arxiv.org/abs/2412.10222
Autor:
Leoni, Giovanni, Spector, Daniel
In this paper we prove extension results for functions in Besov spaces. Our results are new in the homogeneous setting, while our technique applies equally in the inhomogeneous setting to obtain new proofs of classical results. While our results incl
Externí odkaz:
http://arxiv.org/abs/2404.18342
For constants $\gamma \in (0,1)$ and $A\in (1,\infty)$, we prove existence and uniqueness of a solution to the singular and path-dependent Riccati-type ODE \begin{align*} \begin{cases} h'(y) = \frac{1+\gamma}{y}\big( \gamma - h(y)\big)+h(y)\frac{\gam
Externí odkaz:
http://arxiv.org/abs/2402.07185
Autor:
Leoni, Giovanni
Publikováno v:
American Mathematical Society, Graduate Studies in Mathematics Volume: 229; 2023; 586 pp
This book provides a gentle introduction to fractional Sobolev spaces, which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable
Externí odkaz:
http://arxiv.org/abs/2303.05940
Autor:
Pasquariello, Rolando, Bogliolo, Luisa, Di Filippo, Francesca, Leoni, Giovanni Giuseppe, Nieddu, Stefano, Podda, Andrea, Brevini, Tiziana A.L., Gandolfi, Fulvio
Publikováno v:
In Theriogenology 1 September 2024 225:16-32
Autor:
Leoni, Giovanni, author
Publikováno v:
Cosmopolitanism in the Portuguese-Speaking World. 27:161-219