Commensurability of some capacities with harmonic capacities

DOI10.4213/RM10104EMaRDI QIDQ6492358

Maxim Ya Mazalov

Publication date: 25 April 2024

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

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• Painlevé's problem and the semiadditivity of analytic capacity.
• Uniform approximation of functions by solutions of strongly elliptic equations of second order on compact subsets of
• Explicit form of fundamental solutions to certain elliptic equations and associated $B$- and $C$-capacities
• On metric properties of $C$-capacities associated with solutions of second-order strongly elliptic equations in $\pmb{\mathbb R}^2$

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