Sharp Stability of Global Compactness on the Heisenberg Group

Published 13 Jun 2025 in math.AP | (2506.11404v1)

Abstract: In this paper, we establish a sharp stability inequality on the Heisenberg group for functions that are close to the sum of m weakly interacting Jerison-Lee bubbles. As a consequence, we obtain a sharp quantitative stability of global compactness for non-negative functions on Heisenberg group.

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