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math.CA2022
A generalization of Newton-Maclaurin's inequalities
Changyu Ren
In this paper, we prove Newton-Maclaurin type inequalities for functions obtained by linear combination of two neighboring primary symmetry functions, which is a generalization of…
math.AP2022
Pogorelov type estimates for Sum Hessian equations and a rigidity theorem
Yue Liu, Changyu Ren
We mainly study Pogorelov type estimates for solutions to the Dirichlet problem of Sum Hessian equations. We establish respectively Pogorelov type estimates for -con…