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math.AP2024
A sharp threshold for Trudinger-Moser type inequalities with logarithmic kernels in dimension N
Alessandro Cannone, Silvia Cingolani
In the paper we investigate Trudinger-Moser type inequalities in presence of logarithmic kernels in dimension N. A sharp threshold, depending on N, is detected for the existence of…
math.AP2024★ 2 cited
On the equivalence between an Onofri-type inequality by Del Pino-Dolbeault and the sharp logarithmic Moser-Trudinger inequality
Natalino Borgia, Silvia Cingolani, Gabriele Mancini
In this paper we consider the -dimensional Euclidean Onofri inequality proved by del Pino and Dolbeault for smooth compactly supported functions in , . W…