An approximation result for solutions of Hessian equations

Date

2007

Authors

Urbas, John

Journal Title

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Volume Title

Publisher

Springer

Abstract

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

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Citation

Source

Calculus of Variations and Partial Differential Equations

Type

Journal article

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Restricted until

2037-12-31