Radial symmetry for p-harmonic functions in exterior and punctured domains

2018/01/22 by Poggesi, Giorgio · 2 citations
#35A23 (Secondary) #35N25 (Primary) #53A10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.07105

Abstract

We prove symmetry for the p-capacitary potential satisfying Δ_p u = 0 in ℝ^N ∖ Ω , u=1 on Γ, lim_{|x|→ ∞} u(x)=0 , 1

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• General monotone formula for homogeneous k-Hessian equation in the exterior domain and its applications
• A Minkowski Theory for the Exterior Capacitary Volumes and A Resolution of the Pólya-Szegö Conjecture

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