Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces

Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces

We investigate the subcritical anisotropic Trudinger–Moser inequality in the entire space ℝN, obtain the asymptotic behavior of the supremum for the subcritical anisotropic Trudinger–Moser inequalities on the entire Euclidean spaces, and provide a precise relationship between the supremums for the c...

Full description

Bibliographic Details
Main Authors: Xiaoping Song, Dongliang Li, Maochun Zhu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2021/8992411
id doaj-13724d3e127947d880084ff24a7769a0
record_format Article
spelling doaj-13724d3e127947d880084ff24a7769a02021-10-11T00:39:57ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/8992411Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean SpacesXiaoping Song0Dongliang Li1Maochun Zhu2School of Mathematical SciencesSchool of Mathematical SciencesSchool of Mathematical SciencesWe investigate the subcritical anisotropic Trudinger–Moser inequality in the entire space ℝN, obtain the asymptotic behavior of the supremum for the subcritical anisotropic Trudinger–Moser inequalities on the entire Euclidean spaces, and provide a precise relationship between the supremums for the critical and subcritical anisotropic Trudinger–Moser inequalities. Furthermore, we can prove critical anisotropic Trudinger–Moser inequalities under the nonhomogenous norm restriction and obtain a similar relationship with the supremums of subcritical anisotropic Trudinger–Moser inequalities.http://dx.doi.org/10.1155/2021/8992411
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoping Song
Dongliang Li
Maochun Zhu
spellingShingle Xiaoping Song
Dongliang Li
Maochun Zhu
Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
Mathematical Problems in Engineering
author_facet Xiaoping Song
Dongliang Li
Maochun Zhu
author_sort Xiaoping Song
title Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
title_short Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
title_full Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
title_fullStr Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
title_full_unstemmed Critical and Subcritical Anisotropic Trudinger–Moser Inequalities on the Entire Euclidean Spaces
title_sort critical and subcritical anisotropic trudinger–moser inequalities on the entire euclidean spaces
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1563-5147
publishDate 2021-01-01
description We investigate the subcritical anisotropic Trudinger–Moser inequality in the entire space ℝN, obtain the asymptotic behavior of the supremum for the subcritical anisotropic Trudinger–Moser inequalities on the entire Euclidean spaces, and provide a precise relationship between the supremums for the critical and subcritical anisotropic Trudinger–Moser inequalities. Furthermore, we can prove critical anisotropic Trudinger–Moser inequalities under the nonhomogenous norm restriction and obtain a similar relationship with the supremums of subcritical anisotropic Trudinger–Moser inequalities.
url http://dx.doi.org/10.1155/2021/8992411
work_keys_str_mv AT xiaopingsong criticalandsubcriticalanisotropictrudingermoserinequalitiesontheentireeuclideanspaces
AT dongliangli criticalandsubcriticalanisotropictrudingermoserinequalitiesontheentireeuclideanspaces
AT maochunzhu criticalandsubcriticalanisotropictrudingermoserinequalitiesontheentireeuclideanspaces
_version_ 1716829090543042560

Similar Items