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math.AP2023
Liouville theorem for a class of Hessian equations
Jianchun Chu, Sławomir Dinew
In this paper, we study a general class of Hessian elliptic equations, including the Monge-Ampère equation, the -Hessian equation and -Monge-Ampère equations. We propose new…
math.DG2023
A non-spin method to the positive weighted mass theorem for weighted manifolds
Jianchun Chu, Jintian Zhu
In this paper, we investigate the weighted mass for weighted manifolds. By establishing a version of density theorem and generalizing Geroch conjecture in the setting of -scalar…