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Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group
- Publication Year :
- 2020
-
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.<br />Comment: Accepted for publication in "Mathematics in Engineering"
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2011.04455
- Document Type :
- Working Paper