A POINCARE TYPE INEQUALITY FOR HESSIAN INTEGRALS

Citation
Ns. Trudinger et Xj. Wang, A POINCARE TYPE INEQUALITY FOR HESSIAN INTEGRALS, Calculus of variations and partial differential equations, 6(4), 1998, pp. 315-328
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
09442669
Volume
6
Issue
4
Year of publication
1998
Pages
315 - 328
Database
ISI
SICI code
0944-2669(1998)6:4<315:APTIFH>2.0.ZU;2-K
Abstract
In this paper we show that Hessian integrals I-k, k = 0, 1,...,n, can be estimated by those of higher order. The result extends a variant of the Poincare inequality corresponding to the cases k = 0, 1. The proo f depends on solving a related non-linear parabolic initial boundary v alue problem.