Sharp Critical and Subcritical Trace Trudinger–Moser and Adams Inequalities on the Upper Half-Spaces

In this paper, we establish the sharp critical and subcritical trace Trudinger–Moser and Adams inequalities on the half-spaces and prove the existence of their extremals through the method based on the Fourier rearrangement, harmonic extension and scaling invariance. These trace Trudinger–Moser (The...

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Bibliographic Details
Main Authors: Chen, L. (Author), Lu, G. (Author), Yang, Q. (Author), Zhu, M. (Author)
Format: Article
Language:English
Published: Springer 2022
Subjects:
Online Access:View Fulltext in Publisher