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Viscosity solution to complex Hessian quotient equations
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math.AP
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complexequationshessianviscosityexistencequotientresultsassuming
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In this paper, we prove the existence of viscosity solutions to complex Hessian equations on compact Hermitian manifolds, assuming the existence of a strict subsolution in the viscosity sense. The results cover the complex Hessian quotient equations. This generalized our previous results where the equation needs to satisfy a determinant domination condition.
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