Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

A. Roncoroni

An overview on extremals and critical points of the Sobolev inequality in convex cones

created by roncoroni on 21 Oct 2022
modified on 17 Oct 2023


Published Paper

Inserted: 21 oct 2022
Last Updated: 17 oct 2023

Journal: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.
Year: 2022

ArXiv: 2204.12812 PDF


In this survey, we consider the sharp Sobolev inequality in convex cones. We also prove it by using the optimal transport technique. Then we present some results related to the Euler-Lagrange equation of the Sobolev inequality: the so-called critical p-Laplace equation. Finally, we discuss some stability results related to the Sobolev inequality.

Credits | Cookie policy | HTML 5 | CSS 2.1