Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation
https://doi.org/10.1016/j.jde.2020.08.005Publisher, magazine: ,
Publication year: 2021
Lưu Trích dẫn Chia sẻAbstract
The Moser-Trudinger embedding has been generalized in Adimurthi and Sandeep (2007) [2] to the following weighted version: if is bounded, is the measure of the unit sphere, then for and , where and . We prove that the supremum is attained on any domain Ω. The paper also fills in the gaps in the proof of Lin (1996) [21], which deals with the case .
Tags: Moser Trudinger inequality, Extremal function
Các bài viết liên quan đến tác giả Gyula Csató
Extremals for the singular Moser-Trudinger inequality via n-harmonic transplantation