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• W3183303552 abstract "In this paper, we consider a Hessian equation with its structure as a combination of elementary symmetric functions on closed Kähler manifolds. We provide a sufficient and necessary condition for the solvability of this equation, which generalizes the results of Hessian equation and Hessian quotient equation. As a consequence, we can solve a complex Monge–Ampère type equation proposed by Chen in the case that one of the coefficients is negative. In this case, the equation is related the deformed Hermitian Yang-Mills equation. The key to our argument is a novel use of the special properties of the Hessian quotient operator $$frac{sigma _k}{sigma _{k-1}}$$ ." @default.
• W3183303552 created "2021-08-02" @default.
• W3183303552 creator A5037989560 @default.
• W3183303552 date "2023-08-03" @default.
• W3183303552 modified "2023-10-02" @default.
• W3183303552 title "Hessian Equations of Krylov Type on Kähler Manifolds" @default.
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• W3183303552 doi "https://doi.org/10.1007/s12220-023-01394-8" @default.
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