79 citations · 327 across the 58 of their papers we have counts for
71 papers
Calculations for a general maximum principle: 1993 notes on the normalized parabolic -Laplacian
Nicola Garofalo
This note makes available, in facsimile form, a set of handwritten notes from September 1993 devoted to Bochner-type maximum principle computations for a general class of quasiline…
Some inequalities for the Fourier transform and their limiting behaviour
Nicola Garofalo
We identify a one-parameter family of inequalities for the Fourier transform whose limiting case is the restriction conjecture for the sphere. Using Stein's method of complex inter…
A sub-Riemannian maximum modulus theorem
Federico Buseghin, Nicolò Forcillo, Nicola Garofalo
In this note we prove a sub-Riemannian maximum modulus theorem in a Carnot group. Using a nontrivial counterexample, we also show that such result is best possible, in the sense th…
A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators
Nicola Garofalo, Giulio Tralli
In this note we revisit a result in [9], where we established nonlocal isoperimetric inequalities and the related embeddings for Besov spaces adapted to a class of Hörmander operat…
On the forward in time propagation of zeros in fractional heat type problems
Agnid Banerjee, Nicola Garofalo
In this short note we prove that if solves in , and vanishes to infinite order at a point , then $u \e…
Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous group
Nicola Garofalo, Annunziata Loiudice, Dimiter Vassilev
In this paper we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation $\frlap u=u^{\frac{Q+2s}{Q-2s}}$ in a homogeneous Lie group, where $\frlap$…