Extremal decomposition problems for p-harmonic Robin radius

DOI10.47910/FEMJ202014zbMath1460.31025MaRDI QIDQ5151305

Anna Sergeevna Afanaseva-Grigoreva, Elena G. Prilepkina

Publication date: 17 February 2021

Published in: Dal'nevostochnyi Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/dvmg427

zbMATH Keywords

modulus of a family of curvesRobin radius\(p\)-harmonic radius

Mathematics Subject Classification ID

Potentials and capacities on other spaces (31C15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• On composition principles for reduced moduli
• Extremal length and functional completion
• \(N\)-capacity, \(N\)-harmonic radius and \(N\)-harmonic transplantation
• Conformal geometry and quasiregular mappings
• Capacities and geometric transformations of subsets in \(n\)-space
• The equality between \(p\)-capacity and \(p\)-modulus
• Extremal decomposition problems for \(p\)-harmonic radius
• \(N\)-radial systems of points and problems for non-overlapping domains
• A remark on domains quasiconformally equivalent to a ball
• Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Sharp estimates of products of inner radii of non-overlapping domains in the complex plane
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