Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Sciaraffia, Luciano"'
Autor:
Sciaraffia, Luciano
We study the existence of minimal networks in the unit sphere $\mathbf{S}^d$ and the unit ball $\mathbf{B}^d$ of $\mathbf{R}^d$ endowed with Riemannian metrics close to the standard ones. We employ a finite-dimensional reduction method, modelled on t
Externí odkaz:
http://arxiv.org/abs/2401.13134
Autor:
Novaga, Matteo, Sciaraffia, Luciano
We study the formation of singularities for the curvature flow of networks when the initial data is symmetric with respect to a pair of perpendicular axes and has two triple junctions. We show that, in this case, the set of singular times is finite.<
Externí odkaz:
http://arxiv.org/abs/2310.02890
Autor:
Kamburov, Nikola, Sciaraffia, Luciano
We construct nontrivial smooth bounded domains $\Omega \subseteq \mathbb{R}^n$ of the form $\Omega_0 \setminus \overline{\Omega}_1$, bifurcating from annuli, for which there exists a positive solution to the overdetermined boundary value problem \[ -
Externí odkaz:
http://arxiv.org/abs/1902.10587
Autor:
Kamburov, Nikola, Sciaraffia, Luciano
Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire January-February 2021 38(1):1-22
