Moser–Trudinger–Adams inequalities and related developments

Author:

Sandeep Kunnath1

Affiliation:

1. TIFR Center for Applicable Mathematics, Post Bag No. 6503, Sharadanagar, Yelahanka New Town, Bangalore 560065, India

Abstract

In this paper, we review some of the developments on the Moser–Trudinger and Adams inequalities in both Euclidean space and on Riemannian manifolds. We will also describe some of the closely related problems.

Funder

Department of Atomic Energy, Government of India

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonexistence of extremals for an improved Adimurthi-Druet inequality involving $$L^p$$-norm on a closed Riemann surface;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-11-11

2. A Trudinger–Moser type inequality in a strip and applications;Applied Mathematics Letters;2023-06

3. Existence and Non-existence of Extremals for Critical Adams Inequality in any Even Dimension;The Journal of Geometric Analysis;2022-07-22

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