𝑊^{1,𝑝} approximation of the Moser–Trudinger inequality

Hashizume, Masato; Ioku, Norisuke

doi:10.1090/proc/16508

$W^{1,p}$ approximation of the Moser–Trudinger inequality
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by Masato Hashizume and Norisuke Ioku;

Proc. Amer. Math. Soc. 151 (2023), 4279-4289

DOI: https://doi.org/10.1090/proc/16508

Published electronically: July 21, 2023

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Abstract:

We propose a power type approximation of the Moser–Trudinger functional and show that its concentration level converges to the Carleson–Chang limit.

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