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math.AP2014★ 9 cited
On uniform estimate of complex elliptic equations on closed Hermitian manifolds
Wei Sun
In this paper, we study Hessian equations and complex quotient equations on closed Hermitian manifolds. We directly derive the uniform estimate for the admissible solution. As an a…
math.AP2014★ 6 cited
On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: estimate
Wei Sun
We study a class of fully nonlinear elliptic equations on closed Hermitian manifolds. Under the assumption of cone condition, we derive the estimate directly.
math.AP2014
Probabilistic representations of solutions of elliptic boundary value problem and non-symmetric semigroups
Chuan-Zhong Chen, Wei Sun, Jing Zhang
In this paper, we use a probabilistic approach to show that there exists a unique, bounded continuous solution to the Dirichlet boundary value problem for a general class of second…