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Some interior regularity results for solutions of Hessian equations

Urbas, John


We prove monotonicity formulae related to degenerate k-Hessian equations which yield Morrey type estimates for certain integrands involving the second derivatives of the solution. In the special case k = 2 we deduce that weak solutions in W2,p(Ω), p > n

CollectionsANU Research Publications
Date published: 2000
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations


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