Semiclassical Moser–Trudinger inequalities

ARORA, Rakesh, Phan Thanh NAM and Phuoc-Tai NGUYEN. Semiclassical Moser–Trudinger inequalities. Transactions of the American Mathematical Society. American Mathematical Society, 2024, vol. 377, No 5, p. 3243-3260. ISSN 0002-9947. Available from: https://dx.doi.org/10.1090/tran/9146.

Basic information

• Original name: Semiclassical Moser–Trudinger inequalities
• Authors: ARORA, Rakesh, Phan Thanh NAM and Phuoc-Tai NGUYEN (704 Viet Nam, belonging to the institution).
• Edition: Transactions of the American Mathematical Society, American Mathematical Society, 2024, 0002-9947.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 1.300 in 2022
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1090/tran/9146
• UT WoS: 001188004400001
• Keywords in English: Moser-Trudinger inequalities; semiclassical approximation; Schrödinger operators
• Tags: rivok
• Tags: International impact, Reviewed

Abstract

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.

Links

• GA22-17403S, research and development project: Name: Nelineární Schrödingerovy rovnice a systémy se singulárním potenciálem (Acronym: NSESSP)

Investor: Czech Science Foundation