Abstract
In this paper we show that Hessian integrals $I_k$ , $k=0, 1, \cdots, n$ , 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 proof depends on solving a related non-linear parabolic initial boundary value problem.
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More From: Calculus of Variations and Partial Differential Equations
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