On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces
type: Item
instance of: scholarly article
title: On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces
zbMATH Open document ID: 1467.35012
DOI: 10.4171/ZAA/1680
author: Francisco S. B. Albuquerque
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2021-07-02T00:00:00Z
review text: Summary: In this article we establish a Trudinger-Moser inequality of Adachi-Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole \(\mathbb{R}^N\). The main tools are the Besecovitch covering lemma and a Trudinger-Moser inequality on the whole space established by S. Adachi and K. Tanaka.
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7367457
zbMATH Keywords: Trudinger-Moser inequality
zbMATH Keywords: Adachi-Tanaka inequality
zbMATH Keywords: nonradial weighted Sobolev spaces
zbMATH Keywords: Besicovitch covering lemma
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/1680
OpenAlex ID: W3147759700
description: scientific article; zbMATH DE number 7367457