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

DOI10.1002/cpa.21652zbMath1357.32026arXiv1407.7630OpenAlexW2964130146MaRDI QIDQ2956660

Wei Sun

Publication date: 18 January 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7630

zbMATH Keywords

compact Hermitian manifoldscomplex Hessian equationscomplex quotient equations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Other partial differential equations of complex analysis in several variables (32W50)

Related Items (16)

On uniform estimate of complex elliptic equations on closed Hermitian manifolds ⋮ A type of parabolic flow with mixed hessians on compact Kähler manifolds ⋮ On an \(a\) \(priori\) \(L^\infty\) estimate for a class of Monge-Ampère type equations on compact almost Hermitian manifolds ⋮ The parabolic flows for complex quotient equations ⋮ Monge-Ampère type equations on almost Hermitian manifolds ⋮ Hessian equations of Krylov type on Kähler manifolds ⋮ The weak solutions to complex Hessian equations ⋮ Fully non-linear elliptic equations on compact almost Hermitian manifolds ⋮ On \(L^{\infty}\) estimate for complex Hessian quotient equations on compact Kähler manifolds ⋮ Fully nonlinear elliptic equations for conformal deformations of Chern-Ricci forms ⋮ Fully non-linear degenerate elliptic equations in complex geometry ⋮ A class of the non-degenerate complex quotient equations on compact Kähler manifolds ⋮ On a complex Hessian flow ⋮ Regularity of degenerate \(k\)-Hessian equations on closed Hermitian manifolds ⋮ Transverse fully nonlinear equations on Sasakian manifolds and applications ⋮ Hessian equations of Krylov type on compact Hermitian manifolds

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