Brunn-Minkowski Inequality for p-Harmonic Measures
Ariel A. Aguas-Barreno, Murat Akman, Shirsho Mukherjee
TL;DR
This paper establishes a local Brunn-Minkowski inequality for a functional related to p-harmonic measures, extending geometric inequalities to a broader class of nonlinear potential problems.
Contribution
It introduces a novel local Brunn-Minkowski inequality specifically for p-harmonic measures when 2 < p < n+1, expanding the scope of geometric analysis.
Findings
Proves a local Brunn-Minkowski inequality for p-harmonic measures.
Extends geometric inequalities to nonlinear potential theory.
Applicable for 2 < p < n+1.
Abstract
We prove a local Brunn-Minkowski inequality for a functional corresponding to p-harmonic measures for 2 < p < n+1.
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Taxonomy
TopicsGeometry and complex manifolds · Point processes and geometric inequalities · Advanced Harmonic Analysis Research