A Poincaré type inequality for Hessian integrals |
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| Authors: | Neil S. Trudinger Xu-Jia Wang |
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| Affiliation: | (1) Centre for Mathematics and its Applications, Australian National University, Canberra, ACT 0200, Australia (e-mail: Neil.Trudinger@maths.anu.edu.au, X.J.Wang@maths.anu.edu.au) , AU |
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| Abstract: | In this paper we show that Hessian integrals , , can be estimated by those of higher order. The result extends a variant of the Poincaré inequality corresponding to the cases . The proof depends on solving a related non-linear parabolic initial boundary value problem. Received January 15, 1997 / Accepted March 1997 |
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| Keywords: | Mathematics Subject Classification (1991):52A40 58G11 |
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