The optimal Leray-Trudinger inequality
Analysis of PDEs
2022-08-11 v1 Functional Analysis
Abstract
We fill the gap left open in \cite{MT}, regarding the minimum exponent on the logarithmic correction weight so that the Leray-Trudinger inequality (see \cite{PsSp}) holds. Instead of the representation formula used in \cite{PsSp} and \cite{MT}, our proof uses expansion in spherical harmonics as in \cite{VzZ}.
Keywords
Cite
@article{arxiv.2208.05430,
title = {The optimal Leray-Trudinger inequality},
author = {Giuseppina Di Blasio and Giovanni Pisante and Georgios Psaradakis},
journal= {arXiv preprint arXiv:2208.05430},
year = {2022}
}