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arXiv:1309.4204 [math.AP]AbstractReferencesReviewsResources

$C^{1, 1}$ Solution of the Dirichlet Problem for Degenerate $k$-Hessian Equations

Qi Wang, Chao-Jiang Xu

Published 2013-09-17Version 1

In this paper, we prove the existence of $C^{1,1}$-solution to the Dirichlet problem for degenerate elliptic $k$-Hessian equations $S_{k}[u]=f$ under a condition which is weaker than the condition $f^{1/k}\in C^{1,1}(\bar\Omega)$.

Comments: 18pages
Categories: math.AP
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