An interior second derivative bound for solutions of Hessian equations |
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| Authors: | John Urbas |
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| Institution: | (1) Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia (e-mail: John.Urbas@maths.anu.edu.au) , AU |
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| Abstract: | In previous work we showed that weak solutions in of the k-Hessian equation have locally bounded second derivatives if g is positive and sufficiently smooth and p > kn/2. Here we improve this result to p > k(n-1)/2, which is known to be sharp in the Monge-Ampère case k=n > 2.
Received June 21, 1999 / Accepted June 12, 2000 / Published online November 9, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35J60 35B65 35B45 |
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