Hölder Continuous Solutions to Complex Hessian Equations

By Ngoc Cuong Nguyen. 2013

47 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6ec82de2ea8f24adc2858ef6ad5573a9ea6a8815

How researchers see this paper

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In Applied Mathematics

1. V. V. Hung
2. Nguyen Van Phu

In Geometry and Topology

1. V. V. Hung
2. Nguyen Van Phu

Citations in the corpus

• Hessian measures on m-polar sets and applications to the complex Hessian equations (2017, background): “In [10], Cuong proved the subsolution theorem for the complex mHessian equation in a smoothly bounded strongly m-pseudoconvex domain in Cn.”