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arXiv · 2011.04455

Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group

Mattia Fogagnolo·Andrea Pinamonti
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Abstract

We examine the geometry of the level sets of particular horizontally $p$-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the $p$-capacitary potential of a bounded annulus in the Heisenberg group are strictly starshaped.

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Mattia Fogagnolo, Andrea Pinamonti. 2020-11-09. Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group. https://arxiv.org/abs/2011.04455

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