172 citations · 357 across the 38 of their papers we have counts for
5 papers · 1 filter
On principal frequencies, volume and inradius in convex sets
Lorenzo Brasco, Dario Mazzoleni
We provide a sharp double-sided estimate for Poincaré-Sobolev constants on a convex set, in terms of its inradius and dimensional measure. Our results extend and unify previous…
Positive solutions to the sublinear Lane-Emden equation are isolated
Lorenzo Brasco, Guido De Philippis, Giovanni Franzina
We prove that on a smooth bounded set, the positive least energy solution of the Lane-Emden equation with sublinear power is isolated. As a corollary, we obtain that the first …
Continuity of solutions to a nonlinear fractional diffusion equation
Lorenzo Brasco, Erik Lindgren, Martin Strömqvist
We study a parabolic equation for the fractional Laplacian of order , for and . We provide space-time Hölder estimates for weak solutions, with explicit expo…
An overview on constrained critical points of Dirichlet integrals
Lorenzo Brasco, Giovanni Franzina
We consider a natural generalization of the eigenvalue problem for the Laplacian with homogeneous Dirichlet boundary conditions. This corresponds to look for the critical values of…
A quantitative stability estimate for the fractional Faber-Krahn inequality
Lorenzo Brasco, Eleonora Cinti, Stefano Vita
We prove a quantitative version of the Faber-Krahn inequality for the first eigenvalue of the fractional Dirichlet-Laplacian of order s. This is done by using the so-called Caffare…