1 citations · 1 across the 16 of their papers we have counts for
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Capillary Minkowski Flows
Jinrong Hu, Yingxiang Hu, Mohammad N. Ivaki
We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence o…
The dual Christoffel-Minkowski problem for with
Carlos Cabezas-Moreno, Jinrong Hu
In this paper, we investigate an Christoffel-Minkowski-type problem that prescribes a class of geometric measures, which are mixtures of the -th area measure and t…
The dual Minkowski problem for positive indices
Jinrong Hu
We derive the stability result of the dual curvature measure with near constant density in the even case. As an application, the existence and uniqueness of solutions to the even d…
Uniqueness of solutions to the isotropic Gaussian Minkowski problem
Jinrong Hu
The uniqueness of solutions to the isotropic Gaussian Minkowski problem in is established when with , without requiring the origin…
The -Brunn-Minkowski inequalities for variational functionals with
Jinrong Hu
The infinitesimal forms of the -Brunn-Minkowski inequalities for variational functionals, such as the -capacity, the torsional rigidity, and the first eigenvalue of the L…
Pinching estimates of hypersurfaces by a generalized Gauss curvature flow
Jinrong Hu, Ping Zhang
A variant of the Gauss curvature flow for closed and convex hypersurfaces is considered. We reveal that if the initial hypersurface is pinched enough, then this property is preserv…
From the Brunn-Minkowski inequality to a class of generalized Poincaré-type inequalities for torsional rigidity
Niufa Fang, Jinrong Hu, Leina Zhao
In this paper, we establish a class of generalized Poincaré-type inequalities for torsional rigidity on the boundary of a convex body of class in $\rnnn$ by using the c…
The chord Gauss curvature flow and its chord Minkowski problem
Jinrong Hu, Yong Huang, Jian Lu +1
In this paper, the chord Minkowski problem is concerned. Based on the results showed in \cite{HJ23}, we obtain a new existence result of solutions to this problem in terms…
Smooth solutions to the chord log-Minkowski problem
Jinrong Hu, Yong Huang, Jian Lu
In integral geometry generalized with Aleksandrov's variational theory, Lutwak-Xi-Yang-Zhang [Comm. Pure Appl. Math. 77 (2024)] recently opened the door to researching the cone-cho…
Some remarks on a class of logarithmic curvature flow
Jinrong Hu, Qiongfang Mao
In this paper, we introduce a class of new logarithmic curvature flow. The flows are designed to embrace the monotonicity of the related functional, and the convergence of this flo…
A class of generalized fully nonlinear curvature flows and its applications
Jinrong Hu, Jiaqian Liu, Di Ma +1
In this paper, we concern a generalized fully nonlinear curvature flow involving -th elementary symmetric function for principal curvature radii in Eulidean space $\rnnn$, i…
A flow method to the Orlicz-Aleksandrov problem
Jinrong Hu, Jiaqian Liu, Di Ma
In this paper, we obtain the existence result of smooth solutions to the Orlicz-Aleksandrov problem from the perspective of geometric flow. Furthermore, a special uniqueness result…