The capacity of slender toroidal sets in \({\mathbb{R}{}}^ N\)

DOI10.1007/BF00375094zbMath0755.31005MaRDI QIDQ1194069

L. Edward Fraenkel

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

logarithmic capacityelectrostatic capacityapplications in free boundary problems

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Elliptic problems with axisymmetric free boundary: estimation of the diameter of the cross-section by means of capacity, Fractional capacities relative to bounded open Lipschitz sets complemented, Geometrical logarithmic capacitance

Cites Work

• The uniqueness of Hill's spherical vortex
• Best constant in Sobolev inequality
• On integral equations of the first kind with logarithmic kernels
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Generalized axially symmetric potential theory
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