A Poincaré type inequality for Hessian integrals (Q1387909)
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scientific article; zbMATH DE number 1160792
| Language | Label | Description | Also known as |
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| English | A Poincaré type inequality for Hessian integrals |
scientific article; zbMATH DE number 1160792 |
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A Poincaré type inequality for Hessian integrals (English)
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7 September 1998
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It is established a Poincaré type inequality for the Hessian integrals \(I_k\), \(k=0,1,\dots,n\): \[ \{I_l[u] \}^{1/(l+1)}\leq C\{I_k[u] \}^{1/(k+1)},\quad 0\leq l<k\leq n. \] The proof depends on solving a related nonlinear parabolic initial boundary value problem.
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Poincaré type inequality
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Hessian integrals
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parabolic initial boundary value problem
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