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

Xiaoping Song, Dongliang Li and Maochun Zhu

Mathematical Problems in Engineering, 2021, vol. 2021, 1-13

Abstract:

We investigate the subcritical anisotropic Trudinger–Moser inequality in the entire space , 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8992411

DOI: 10.1155/2021/8992411

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