Results 111 to 120 of about 5,752 (197)

Interior Hessian estimates for Hessian quotient equations in dimension three

open access: yes
In this paper, we establish the interior Hessian estimates for $2$-convex solutions to $\frac{σ_2}{σ_1} (D^2 u) = ψ(x,u)$ in dimension three. In higher dimensions ($n \geq 4$), we prove the interior Hessian estimates for semi-convex solutions. We provide a new method to prove the doubling inequality for smooth solutions in dimensions three and four. In
Jiao, Heming, Sui, Zhenan
openaire   +2 more sources

Classical Neumann problems for Hessian equations and Alexandrov-Fenchel inequalities

open access: yes, 2017
Last year, Xinan Ma and me gave a existence result about the Neumann problems for Hessian equations. In this talk, we proceed further to study classical Neumann problems for Hessian equations.
Qiu, Guohuan
core  

Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations

open access: yes
We initiate the study of $m$-subharmonic functions with respect to a semipositive $(1,1)$-form in Euclidean domains, providing a significant element in understanding geodesics within the context of complex Hessian equations.
Lu, Chinh H.   +3 more
core   +4 more sources

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