The inradius, the first eigenvalue, and the torsional rigidity of curvilinear polygons
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Publication:3162663
DOI10.1112/BLMS/BDQ028zbMath1200.35203OpenAlexW2067915597MaRDI QIDQ3162663
Alexander Yu. Solynin, Victor A. Zalgaller
Publication date: 20 October 2010
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/bdq028
Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Spectral theory; eigenvalue problems on manifolds (58C40)
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Geometric function theory. Jenkins' results. The method of modules of curve families ⋮ Torsional rigidity and Bergman analytic content of simply connected regions ⋮ Bounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian ⋮ Exercises on the theme of continuous symmetrization
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