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Existence of a Minimizer for the Bianchi-Egnell Inequality on the Heisenberg Group

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Abstract

This paper is concerned with the Bianchi-Egnell inequality on the Heisenberg group, which quantifies the stability of the Sobolev inequality. We generalize results of K\(\ddot{\text{ o }}\)nig in the Euclidean case.

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Authors and Affiliations

  1. School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, Beijing, 100875, China

    Zhongwei Tang, Bingwei Zhang & Yichen Zhang

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  1. Zhongwei Tang
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  2. Bingwei Zhang
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  3. Yichen Zhang
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Correspondence to Yichen Zhang.

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Z. Tang is supported by National Natural Science Foundation of China (12071036, 12271223).

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Tang, Z., Zhang, B. & Zhang, Y. Existence of a Minimizer for the Bianchi-Egnell Inequality on the Heisenberg Group. J Geom Anal 34, 148 (2024). https://doi.org/10.1007/s12220-024-01578-w

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