Reduced p-modulus, p-harmonic radius and p-harmonic Green

DOI10.15393/j3.art.2018.5190zbMath1428.31008OpenAlexW2910020779MaRDI QIDQ5241212

B. E. Levitskij

Publication date: 30 October 2019

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa249

zbMATH Keywords

\(p\)-harmonic Green function\(p\)-harmonic Green mapping\(p\)-harmonic inner radiusreduced \(p\)-modulus

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Harmonic maps, etc. (58E20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• \(N\)-capacity, \(N\)-harmonic radius and \(N\)-harmonic transplantation
• Singular solutions of the p-Laplace equation
• A p-extremal length and p-capacity equality
• Variational problems with concentration
• Capacities and geometric transformations of subsets in \(n\)-space
• The equality between \(p\)-capacity and \(p\)-modulus
• Extremal decomposition problems for \(p\)-harmonic radius
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Condenser Capacities and Symmetrization in Geometric Function Theory
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