Hölder continuous solutions to complex Hessian equations

Published 4 Jan 2013 in math.CV | (1301.0710v2)

Abstract: We prove the H\"older 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

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