[PDF][PDF] On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian

SY Li - 2004 - projecteuclid.org
ON THE DIRICHLET PROBLEMS FOR SYMMETRIC FUNCTION EQUATIONS OF THE
EIGENVALUES OF THE COMPLEX HESSIAN To Yum-Tong Siu, on his six Page 1 ASIAN J …

[PDF][PDF] The Dirichlet problem for complex Monge-Ampere equations and regularity of the pluri-complex Green function

B Guan - Communications in analysis and geometry, 1998 - math.osu.edu
Let Ω be a bounded domain in C n with C∞ boundary∂ Ω. In this paper we are concerned
with the Dirichlet problem for complex Monge-Ampere equations (1.1) det (uzj zk)= ψ (z, u,∇ …

[BOOK][B] Geometric analysis of the Bergman kernel and metric

SG Krantz - 2013 - Springer
The Bergman kernel and metric have been a seminal part of geometric analysis and partial
differential equations since their invention by Stefan Bergman in 1922. Applications to …

[BOOK][B] Harmonic and complex analysis in several variables

SG Krantz - 2017 - Springer
The subject of harmonic analysis dates to the days of Bernoulli and Euler, but it was first
formalized by Joseph Fourier in the early nineteenth century. In the intervening 200 years …

The Neumann problem for a type of fully nonlinear complex equations

W Dong, W Wei - Journal of Differential Equations, 2022 - Elsevier
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The Dirichlet problem of fully nonlinear equations on Hermitian manifolds

K Feng, H Ge, T Zheng - arxiv preprint arxiv:1905.02412, 2019 - arxiv.org
We study the Dirichlet problem of a class of fully nonlinear elliptic equations on Hermitian
manifolds and derive a priori $ C^ 2$ estimates which depend on the initial data on …

[PDF][PDF] Characterization for a class of pseudoconvex domains whose boundaries having positive constant pseudo scalar curvature

SY Li - Comm. Anal. Geom, 2009 - math.uci.edu
Let (M, θ) be a strictly pseudoconvex pseudo-Hermitian compact hypersurface in Cn+ 1 in
the sense of Webster [34] with a pseudo-Hermitian real oneform θ on M. Let Rθ be the …

The Neumann problem of complex Hessian quotient equations

C Chen, W Wei - International Mathematics Research Notices, 2021 - academic.oup.com
In this paper, we consider the Neumann problem of complex Hessian quotient equations
with and establish the global estimates and reduce the global 2nd derivative estimate to the …

[PDF][PDF] The Neumann problem of complex special Lagrangian equations with supercritical phase

CQ Chen, XN Ma, W Wei - Anal. Theory Appl., 2019 - staff.ustc.edu.cn
Inspired by the Neumann problem of real special Lagrangian equations with supercritical
phase, we consider the Neumann problem of complex special Lagrangian equations with …

Gradient estimates for Neumann boundary value problem of Monge–Ampère type equations

F Jiang, N **ang, J Xu - Communications in Contemporary …, 2017 - World Scientific
This paper concerns the gradient estimates for Neumann problem of a certain Monge–
Ampère type equation with a lower order symmetric matrix function in the determinant …