On a Class of Fully Nonlinear Elliptic Equations on Closed Hermitian Manifolds II: L^∞ Estimate

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• 作者：Wei Sun
• 刊名：Communications on Pure and Applied Mathematics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：70
• 期：1
• 页码：172-199
• 全文大小：275K
• ISSN：1097-0312

文摘

We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of the cone condition, we derive the L^∞ estimate directly. As an application, we solve the complex quotient equations on closed Kähler manifolds.