The inradius, the irst eigenvalue and the torsional rigidity of curvilinear polygons

Alexander Solynin, Victor A. Zalgaller

Research output: Contribution to journalArticle

Abstract

In this paper, we prove several inequalities for the first eigenvalue, torsional rigidity, and the inradius for curvilinear polygons with n sides, each of which is a smooth arc of a bounded curvature. Our main proofs rely on the method of dissymmetrization and on a special geometrical containment theorem for curvilinear polygons.
Original languageEnglish
Pages (from-to)765-783
JournalBulletin of the London Mathematical Society
StatePublished - Oct 2010

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