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
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.