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arXiv · 1301.0710

Hölder continuous solutions to complex Hessian equations

Ngoc Cuong Nguyen
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Abstract

We prove the Hölder continuity of the solution to complex Hessian equation with the right hand side in $L^p$, $p>\frac{n}{m}$, $1< m< n$, 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.

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Ngoc Cuong Nguyen. 2013-01-13. Hölder continuous solutions to complex Hessian equations. https://doi.org/10.1007/s11118-014-9398-5

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