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THE UNIQUE CONTINUATION PROPERTY OF $p$-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP
Part of
HAIRONG LIU, FANG LIU, HUI WU
Journal:

Bulletin of the Australian Mathematical Society / Volume 99 / Issue 2 / April 2019

Published online by Cambridge University Press:

12 November 2018, pp. 219-230

Print publication:

April 2019
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We introduce an Almgren frequency function of the sub-$p$-Laplace equation on the Heisenberg group to establish a doubling estimate under the assumption that the frequency function is locally bounded. From this, we obtain some partial results on unique continuation for the sub-$p$-Laplace equation.