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The limiting case of the fractional Caffarelli-Kohn-Nirenberg inequality in dimension one

Abstract: We study the limiting case $\gamma\to(1/2)^-$ in dimension one for the fractional Caffarelli-Kohn-Nirenberg inequality, obtaining Onofri's inequality in the unit disk as a limit. An importan...

PRIN 2022: HIGH ORDER STRUCTURE-PRESERVING SEMI-IMPLICIT SCHEMES FOR HYPERBOLIC EQUATIONS

The closing meeting of the PRIN 2022 project "High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations" will be held in Sapienza University of Rome in November 12-14, 2025.This w...

Prediction of disease onset and progression using nationwide genetic and healthcare data

Abstract: The presentation will outline recent advances in disease prediction through the integration of national health registries, genomic data, and artificial intelligence. Using data from the...

Minimality of the vortex solution for Ginzburg-Landau systems

We consider the standard Ginzburg-Landau system for N-dimensional maps definedin the unit ball for some parameter eps>0. For a boundary data corresponding to a vortex of topological degree one, the...

The Jenkins-Serrin Theorem reloaded

Jenkins and Serrin in the sixties proved a famous theorem   about minimal graphs in the Euclidean 3-space with infinite boundary values. After reviewing the classical results, we show how to solv...
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