The isoperimetric problem in the Heisenberg group $$\pmb {\mathbb {H}^n}$$ with density
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DOI: 10.1007/s13324-020-00367-2
Abstract: We study the isoperimetric problem for the axially symmetric sets in the Heisenberg group $$\mathbb {H}^n$$ with density $$|z|^p$$ . At first, we prove the existence of weighted isoperimetric sets. Then, we characterize weighted isoperimetric… read more here.
Keywords: mathbb density; isoperimetric problem; heisenberg group; density ... See more keywords