TY - JOUR

T1 - The inradius, the irst eigenvalue and the torsional rigidity of curvilinear polygons

AU - Solynin, Alexander

AU - Zalgaller, Victor A.

PY - 2010/10

Y1 - 2010/10

N2 - 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.

AB - 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.

M3 - Article

SP - 765

EP - 783

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

ER -