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  • 1
    Electronic Resource
    Electronic Resource
    A Poincaré type inequality for Hessian integrals (1998)
    Springer
    Calculus of variations and partial differential equations 6 (1998), S. 315-328 
    Details
    ISSN: 1432-0835
    Keywords: Mathematics Subject Classification (1991):52A40; 58G11
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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 Poincaré inequality corresponding to the cases $k=0, 1$ . The proof depends on solving a related non-linear parabolic initial boundary value problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s005260050093
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