Published Paper
Inserted: 21 oct 2022
Last Updated: 17 oct 2023
Journal: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur.
Year: 2022
Abstract:
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.