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A
second order estimate for general complex Hessian
equations
Duong H. Phong, Sebastien Picard and Xiangwen Zhang |
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Vol. 9 (2016), No. 7, 1693–1709
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DOI: 10.2140/apde.2016.9.1693
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Abstract |
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We consider the general complex Hessian equations with right-hand sides depending on gradients, which are motivated by the Fu–Yau equations arising from the study of Strominger systems. The second order estimate for the solution is crucial to solving the equation by the method of continuity. We obtain such an estimate for the -plurisubharmonic solutions. |
Keywords
complex Hessian equation, second order estimate
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Mathematical Subject Classification 2010
Primary: 35J15, 35J60, 58J05, 35J96
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Milestones
Received: 4 January 2016
Revised: 29 April 2016
Accepted: 28 May 2016
Published: 7 November 2016
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Authors |
| Duong H. Phong | |
| Department of Mathematics Columbia University New York, NY 10027 United States |
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| Sebastien Picard | |
| Department of Mathematics Columbia University New York, NY 10027 United States |
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| Xiangwen Zhang | |
| Department of Mathematics University of California Irvine, CA 92697 United States |
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