Anisotropic Moser-Trudinger type inequality in Lorentz space

Tao Zhang; Jie Liu; Tao Zhang; Jie Liu

doi:10.3934/math.2024480

AIMS Mathematics

2024, Volume 9, Issue 4: 9808-9821. doi: 10.3934/math.2024480

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Research article

Anisotropic Moser-Trudinger type inequality in Lorentz space

Tao Zhang ^,,
Jie Liu

School of Mathematics and Information Science, Yantai University, Yantai, Shandong, China

Received: 26 January 2024 Revised: 29 February 2024 Accepted: 01 March 2024 Published: 11 March 2024
MSC : 35A15, 35A23, 39B05

Our main purpose in this paper is to obtain the anisotropic Moser-Trudinger type inequality in Lorentz space $ L(n, q) $, $ 1 \leq q \leq \infty $. It can be seen as a generation result of the Moser-Trudinger type inequality in Lorentz space.
- anisotropic,
- Moser-Trudinger inequality,
- Lorentz space
Citation: Tao Zhang, Jie Liu. Anisotropic Moser-Trudinger type inequality in Lorentz space[J]. AIMS Mathematics, 2024, 9(4): 9808-9821. doi: 10.3934/math.2024480

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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 \leq q \leq \infty $. It can be seen as a generation result of the Moser-Trudinger type inequality in Lorentz space.

References

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