6 citations · 11 across the 6 of their papers we have counts for
12 papers
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…
Schrödinger operators with negative potentials and Lane-Emden densities
Lorenzo Brasco, Giovanni Franzina, Berardo Ruffini
We consider the Schrödinger operator for negative potentials , on open sets with positive first eigenvalue of the Dirichlet-Laplacian. We show that the spectrum of …
A pathological example in Nonlinear Spectral Theory
Lorenzo Brasco, Giovanni Franzina
We construct an open set on which an eigenvalue problem for the Laplacian has not isolated first eigenvalue and the spectrum is not discrete. The same ex…
Pohozaev identity for the fractional Laplacian on
Lorenzo Brasco, Sunra Mosconi, Marco Squassina
By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on involving the fractional Laplacian operator. Furt…
Spectral inequalities in quantitative form
Lorenzo Brasco, Guido De Philippis
We review some results about quantitative improvements of sharp inequalities for eigenvalues of the Laplacian.