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An interior second derivative bound for solutions of Hessian equations

Urbas, John

Description

In previous work we showed that weak solutions in W2,p(Ω) of the k-Hessian equation Fk[u] = g(cursive chi) 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

CollectionsANU Research Publications
Date published: 2001
Type: Journal article
URI: http://hdl.handle.net/1885/93326
Source: Calculus of Variations and Partial Differential Equations

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