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An approximation result for solutions of Hessian equations

Urbas, John


We show that W 2,p weak solutions of the k-Hessian equation F k (D 2 u) = g(x) with k ≥ 2 can be approximated by smooth k-convex solutions v j of similar equations with the right hands sides controlled uniformly in C 0,1 norm, and so that the quantities

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-006-0064-7


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