In this paper, we shall study existence of weak solutions to complex Hessian equations on compact Hermitian manifolds. With appropriate assumptions, it is possible to obtain weak solutions in different senses.

中文翻译：

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复杂Hessian方程的弱解

在本文中，我们将研究紧埃尔米特流形上复杂Hessian方程弱解的存在性。通过适当的假设，可以获得不同意义上的弱解。