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 ℂn under some additional conditions on the density near the boundary and on the boundary data.
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Nguyen, N.C. Hölder Continuous Solutions to Complex Hessian Equations. Potential Anal 41, 887–902 (2014). https://doi.org/10.1007/s11118-014-9398-5
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DOI: https://doi.org/10.1007/s11118-014-9398-5