Bo Guan Jong-Shenq Guo Bei Hu Urszula Ledzewicz Yuan Lou Fernando Reitich
It is our great privilege to serve as Guest Editors for this special issue of Discrete and Continuous Dynamical Systems, Series B honoring Professor Avner Friedman on his 80th birthday.

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A Monge-Ampère type fully nonlinear equation on Hermitian manifolds
Bo Guan Qun Li
We study a fully nonlinear equation of complex Monge-Ampère type on Hermitian manifolds. We establish the a priori estimates for solutions of the equation up to the second order derivatives with the help of a subsolution.
keywords: a priori estimates. fully nonlinear equations Hermitian manifolds Complex Monge-Ampère equations
The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds
Bo Guan Heming Jiao
We apply some new ideas to derive $C^2$ estimates for solutions of a general class of fully nonlinear elliptic equations on Riemannian manifolds under a ``minimal'' set of assumptions which are standard in the literature. Based on these estimates we solve the Dirichlet problem using the continuity method and degree theory.
keywords: concavity. a priori estimates Fully nonlinear elliptic equations on Riemannian manifolds subsolutions Dirichlet problem

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