Author： Colesanti Andrea
Publisher： Taylor & Francis Ltd
ISSN： 0003-6811
Source： Applicable Analysis, Vol.85, Iss.1-3, 2006-01, pp. : 45-66
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
In the family of n -dimensional convex bodies, we prove a Brunn-Minkowski type inequality for the first eigenvalue of the p -Laplace operator, or Poincaré constant, and for a functional extending the notion of torsional rigidity. In the latter case we also characterize equality conditions.
Related content
Access to resources
Recommend
The Brunn–Minkowski Inequality and Nonconvex Sets
By Ruzsa I.Z.
Geometriae Dedicata, Vol. 67, Iss. 3, 1997-10 ,pp. :
p -Laplace Operator and Diameter of Manifolds
Annals of Global Analysis and Geometry, Vol. 28, Iss. 3, 2005-10 ,pp. :