Hölder continuous solutions to complex Hessian equations

DOI10.1007/S11118-014-9398-5zbMATH Open1302.32034arXiv1301.0710OpenAlexW2150726581MaRDI QIDQ462316

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Publication date: 20 October 2014

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Abstract: We prove the H"older continuity of the solution to complex Hessian equation with the right hand side in $L^p$, $p>fracnm$, $1<m<n$, in a $m$-strongly pseudoconvex domain in $mathbb{C}^n$ under some additional conditions on the density near the boundary and on the boundary data.

Full work available at URL: https://arxiv.org/abs/1301.0710

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