A lower bound for electrostatic capacity in the plane
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Publication:3918380
DOI10.1017/S0308210500020114zbMath0466.31007MaRDI QIDQ3918380
Publication date: 1981
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
potential theorycapacityelectrostaticscomplete elliptic integral of the first kindSteiner symmetrizationvortex ringsfree-boundary problemsconfined plasma in equilibrium
Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Electro- and magnetostatics (78A30)
Related Items (13)
Asymptotic behaviour of a plasma induced by an electric current ⋮ Elliptic problems with axisymmetric free boundary: estimation of the diameter of the cross-section by means of capacity ⋮ Existence and numerical modelling of vortex rings with elliptic boundaries ⋮ On the bifurcation of steady vortex rings from a Green function ⋮ Nonlinear desingularization in certain free-boundary problems ⋮ An elliptic boundary-value problem with a discontinuous nonlinearity, II ⋮ Fractional capacities relative to bounded open Lipschitz sets complemented ⋮ Desingularization of vortices for the Euler equation ⋮ On nonlinear desingularization ⋮ Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem ⋮ Geometrical logarithmic capacitance ⋮ An elliptic boundary-value problem with a discontinuous nonlinearity ⋮ On the variational \(p\)-capacity problem in the plane
Cites Work
- Unnamed Item
- Nonlinear desingularization in certain free-boundary problems
- ON (p,l)-CAPACITY, IMBEDDING THEOREMS, AND THE SPECTRUM OF A SELFADJOINT ELLIPTIC OPERATOR
- Isoperimetric Inequalities and Their Applications
- On the regularity of the solution of a variational inequality
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
- Inequalities for the Capacity of a Condenser
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