22 citations · 249 across the 87 of their papers we have counts for
8 papers · 2 filters
Existence of minimizers for a generalized liquid drop model with fractional perimeter
Matteo Novaga, Fumihiko Onoue
We consider the minimization problem of the functional given by the sum of the fractional perimeter and a general Riesz potential, which is one generalization of Gamow's liquid dro…
Isoperimetric clusters in homogeneous spaces via concentration compactness
Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1
We show the existence of generalized clusters of a finite or even infinite number of sets, with minimal total perimeter and given total masses, in metric measure spaces homogeneous…
Graphical translators for anisotropic and crystalline mean curvature flow
Annalisa Cesaroni, Heiko Kroener, Matteo Novaga
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 o…
Local Hölder regularity of minimizers for nonlocal variational problems
Matteo Novaga, Fumihiko Onoue
We study the regularity of solutions to a nonlocal variational problem, which is related to the image denoising model, and we show that, in two dimensions, minimizers have the same…
Transverse domain walls in thin ferromagnetic strips
M. Morini, C. B. Muratov, M. Novaga +1
We present a characterization of the domain wall solutions arising as minimizers of an energy functional obtained in a suitable asymptotic regime of micromagnetics for infinitely l…
Anisotropic mean curvature flow of Lipschitz graphs and convergence to self-similar solutions
Annalisa Cesaroni, Heiko Kröner, Matteo Novaga
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 prescrib…