Zobrazeno 1 - 10
of 181
pro vyhledávání: '"Cesaroni, Annalisa"'
Autor:
Cesaroni, Annalisa, Novaga, Matteo
In this note we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties
Externí odkaz:
http://arxiv.org/abs/2407.07534
We prove the existence of periodic tessellations of $\mathbb{R}^N$ minimizing a general nonlocal perimeter functional, defined as the interaction between a set and its complement through a nonnegative kernel, which we assume to be either integrable a
Externí odkaz:
http://arxiv.org/abs/2310.01054
Autor:
Cesaroni, Annalisa, Cirant, Marco
Recently, R. Carmona, Q. Cormier, and M. Soner proposed a Mean Field Game (MFG) version of the classical Kuramoto model, which describes synchronization phenomena in a large population of rational interacting oscillators. The MFG model exhibits sever
Externí odkaz:
http://arxiv.org/abs/2307.09305
Autor:
Bernardini, Chiara, Cesaroni, Annalisa
We prove existence of a positive radial solution to the Choquard equation $$-\Delta u +V u=(I_\alpha\ast |u|^p)|u|^{p-2}u\qquad\text{in}\,\,\,\Omega$$ with Neumann or Dirichlet boundary conditions, when $\Omega$ is an annulus, or an exterior domain o
Externí odkaz:
http://arxiv.org/abs/2305.09043
Autor:
Cesaroni, Annalisa, Novaga, Matteo
We show existence of periodic foams with equal cells in $\mathbb R^n$ minimizing an anisotropic perimeter.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2302.07112
Autor:
Cesaroni, Annalisa, Novaga, Matteo
We show existence of fundamental domains which minimize a general perimeter functional in a homogeneous metric measure space. In some cases, which include the usual perimeter in the universal cover of a closed Riemannian manifold, and the fractional
Externí odkaz:
http://arxiv.org/abs/2212.11545
Autor:
Bernardini, Chiara, Cesaroni, Annalisa
Publikováno v:
J. Differential Equations 364 (2023) 296-335
We consider second-order ergodic Mean-Field Games systems in the whole space $\mathbb{R}^N$ with coercive potential and aggregating nonlocal coupling, defined in terms of a Riesz interaction kernel. These MFG systems describe Nash equilibria of games
Externí odkaz:
http://arxiv.org/abs/2208.08177
Autor:
Cesaroni, Annalisa, Novaga, Matteo
We consider the volume constrained fractional mean curvature flow of a nearly spherical set, and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data, under the assumption of global e
Externí odkaz:
http://arxiv.org/abs/2204.04923
In this paper we discuss existence, uniqueness and some properties of a class of solitons to the anisotropic mean curvature flow, i.e., graphical translators, either in the plane or under an assumption of cylindrical symmetry on the anisotropy and th
Externí odkaz:
http://arxiv.org/abs/2107.12082
We consider the anisotropic mean curvature flow of entire Lipschitz graphs. We prove existence and uniqueness of expanding self-similar solutions which are asymptotic to a prescribed cone, and we characterize the long time behavior of solutions, afte
Externí odkaz:
http://arxiv.org/abs/2105.06359