Publication details

Semiclassical Moser–Trudinger inequalities

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Authors

ARORA Rakesh NAM Phan Thanh NGUYEN Phuoc-Tai

Year of publication 2024
Type Article in Periodical
Magazine / Source Transactions of the American Mathematical Society
MU Faculty or unit

Faculty of Science

Citation
web https://www.ams.org/journals/tran/2024-377-05/S0002-9947-2024-09146-8/home.html
Doi http://dx.doi.org/10.1090/tran/9146
Keywords Moser-Trudinger inequalities; semiclassical approximation; Schrödinger operators
Description We extend the Moser–Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains.
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