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Research Article | Open Access

Anisotropic Moser-Trudinger type inequality in Lorentz space

Tao Zhang( ), Jie Liu
School of Mathematics and Information Science, Yantai University, Yantai, Shandong, China
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Abstract

Our main purpose in this paper is to obtain the anisotropic Moser-Trudinger type inequality in Lorentz space L ( n , q ), 1 ≤ q ≤ ∞. It can be seen as a generation result of the Moser-Trudinger type inequality in Lorentz space.

Keywords

anisotropicMoser-Trudinger inequalityLorentz space
CLC number: 35A15, 35A23, 39B05

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9808-9821
DOI: 10.3934/math.2024480

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Zhang T, Liu J. Anisotropic Moser-Trudinger type inequality in Lorentz space. AIMS Mathematics, 2024, 9(4): 9808-9821. https://doi.org/10.3934/math.2024480

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Received: 26 January 2024
Revised: 29 February 2024
Accepted: 01 March 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)