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

  • Zhongwei Tang,
  • Bingwei Zhang,
  • Yichen Zhang

摘要

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 \(\ddot{\text{ o }}\) o ¨ nig in the Euclidean case.