19 citations · 39 across the 8 of their papers we have counts for
10 papers
Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values
Diego Berti, Rolando Magnanini, Michele Marini
We consider a Cauchy-Dirichlet problem for a heat equation with variable coefficients in non-divergence form. The initial values are assumed to be homogeneous, while the Dirichlet…
Closed geodesics on reversible Finsler 2-spheres
Guido De Philippis, Michele Marini, Marco Mazzucchelli +1
We extend two celebrated theorems on closed geodesics of Riemannian 2-spheres to the larger class of reversible Finsler 2-spheres: Lusternik-Schnirelmann's theorem asserting the ex…
Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents
Jonas Hirsch, Michele Marini
We prove that tangent cones at singular boundary points of a two-dimensional current almost area minimizing are unique. Following the ideas exposed by White in [8], the result is a…
The sharp quantitative isocapacitary inequality
Guido De Philippis, Michele Marini, Ekaterina Mukoseeva
We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that the difference between the capacity of a set and that of a ball with the same vol…
Lower bound for the perimeter density at singular points of a minimizing cluster in
Jonas Hirsch, Michele Marini
In this paper we study the blow-ups of the singular points in the boundary of a minimizing cluster lying in the interface of more than two chambers. We establish a sharp lower boun…
Sharp estimates for the anisotropic torsional rigidity and the principal frequency
Giuseppe Buttazzo, Serena Guarino Lo Bianco, Michele Marini
In this paper we generalize some classical estimates involving the torsional rigidity and the principal frequency of a convex domain to a class of functionals related to some aniso…