On the torsion function, Green's function and conformal radius: An isoperimetric inequality of Polya and Szegö, some extensions and applications

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Capacity and harmonic measure in the complex plane (30C85) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (7)

\(N\)-capacity, \(N\)-harmonic radius and \(N\)-harmonic transplantation ⋮ On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations ⋮ Comparison results between linear and quasilinear elliptic boundary value problems ⋮ \(L_\infty\)-estimates for the torsion function and \(L_{\infty}\)-growth of semigroups satisfying Gaussian bounds ⋮ Isoperimetry for semilinear torsion problems in Riemannian two-manifolds ⋮ Bounds for solutions of a class of quasilinear elliptic boundary value problems in terms of the torsion function ⋮ An asymptotic formula for the minimal capacity among sets of equal area

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