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arXiv · 2208.05430

The optimal Leray-Trudinger inequality

Giuseppina Di Blasio·Giovanni Pisante·Georgios Psaradakis
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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}.

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Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis. 2022-08-10. The optimal Leray-Trudinger inequality. https://arxiv.org/abs/2208.05430

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