172 citations · 357 across the 38 of their papers we have counts for
4 papers · 2 filters
Lipschitz regularity for local minimizers of some widely degenerate problems
Pierre Bousquet, Lorenzo Brasco, Vesa Julin
We consider local minimizers of the functional \[ \sum_{i=1}^N \int (|u_{x_i}|-δ_i)^p_+\, dx+\int f\, u\, dx, \] where and stands for the posit…
The second eigenvalue of the fractional Laplacian
Lorenzo Brasco, Enea Parini
We consider the eigenvalue problem for the {\it fractional Laplacian} in an open bounded, possibly disconnected set , under homogeneous Dirichlet boundar…
Convexity Properties of Dirichlet Integrals and Picone-type Inequalities
Lorenzo Brasco, Giovanni Franzina
We focus on three different convexity principles for local and nonlocal variational integrals. We prove various generalizations of them, as well as their equivalences. Some applica…
Improved energy bounds for Schrödinger operators
Lorenzo Brasco, Giuseppe Buttazzo
Given a potential and the associated Schrödinger operator , we consider the problem of providing sharp upper and lower bound on the energy of the operator. It is known th…