Fully non-linear elliptic equations on compact almost Hermitian manifolds
نویسندگان
چکیده
In this paper, we establish a priori estimates for solutions of general class fully non-linear equations on compact almost Hermitian manifolds. As an application, solve the complex Hessian equation and Monge–Ampère $$(n-1)$$ -plurisubharmonic functions in setting.
منابع مشابه
On a Class of Fully Nonlinear Elliptic Equations on Hermitian Manifolds
Abstract. We derive a priori C estimates for a class of complex Monge-Ampère type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in C n . Mathematical Subject Classification (2010): 58J05...
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2023
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-023-02445-2