1 citations · 1 across the 4 of their papers we have counts for
4 papers · 1 filter
From weighted Carlson-Levin inequalities to weighted Gagliardo-Nirenberg inequalities
Francesco Pagliarin, Nikita Simonov
We study weighted Carlson-Levin inequalities on cones, computing the optimal constant and classifying optimizers via an Entropy method. The limiting case of a logarithmic Carlson-L…
A sharp monomial Caffarelli-Kohn-Nirenberg inequality
Francesco Pagliarin
We consider a monomial Caffarelli-Kohn-Nirenberg inequality, find the optimal constant and classify the optimizers under an integrated curvature dimension condition. We take advant…
Regularity for elliptic equations with monomial weights
Gabriele Cora, Gabriele Fioravanti, Francesco Pagliarin +1
We study regularity properties for solutions to elliptic equations that are degenerate or singular along orthogonal hyperplanes. The degenerate ellipticity is carried out by a weig…
Second order regularity for degenerate p-Laplace type equations with log-concave weights
Carlo Alberto Antonini, Giulio Ciraolo, Francesco Pagliarin
We consider weighted p-Laplace type equations with homogeneous Neumann boundary conditions in convex domains, where the weight is a log-concave function which may degenerate at the…