Geometric Capacity Potentials on Convex Plane Rings

Abstract

Under $1<p\le 2$, this paper presents some old and new convexity/isoperimetry based inequalities for the variational $p$-capacity potentials on convex plane rings.

10 pages

References in corpus (2)

• The geometry of planar $p$-harmonic mappings: convexity, level curves and the isoperimetric inequality
• A Maximum Problem of S.-T. Yau for Variational p-Capacity