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arXiv · 2511.04342

Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities

Kaiwen Guo·Yanjun Liu
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Abstract

In this paper, we investigate the extremal functions for anisotropic Trudinger-Moser inequalities. Our method uses convex symmetrization, the continuity of the supremum function, together with the relation between the supremums of the subcritical and the critical anisotropic Trudinger-Moser inequality, we give some results of existence and symmetry about the extremal functions for several different types of anisotropic Trudinger-Moser inequalities.

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Kaiwen Guo, Yanjun Liu. 2025-11-06. Existence of extremal functions and Wulff symmetry for anisotropic Trudinger-Moser inequalities. https://arxiv.org/abs/2511.04342

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