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 -