𝑊^{1,𝑝} approximation of the Moser–Trudinger inequality-Reference-Cited by-同舟云学术

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

Published:2023-07-21 Issue:10 Volume:151 Page:4279-4289
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hashizume Masato,Ioku Norisuke

Abstract

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

Funder

Japan Society for the Promotion of Science

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-10/S0002-9939-2023-16508-9/proc16508_AM.pdf

Reference28 articles.

1. Trudinger type inequalities in 𝐑^{𝐍} and their best exponents;Adachi, Shinji;Proc. Amer. Math. Soc.,2000

2. On the Orlicz-Sobolev imbedding theorem;Adams, R. A.;J. Functional Analysis,1977

3. Sulla diseguaglianza di Sobolev in spazi di Lorentz;Alvino, Angelo;Boll. Un. Mat. Ital. A (5),1977

4. Problèmes isopérimétriques et espaces de Sobolev;Aubin, Thierry;J. Differential Geometry,1976

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