Cover Image

General monotone formula for homogeneous $k$-Hessian equation in the exterior domain and its applications

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Yin, Jiabin, Zhou, Xingjian
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs Differential Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Non-convexity of level sets for solutions to $k$-Hessian equations in exterior domains
by: Bo, Wang, et al.
Published: (2026)

Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces
by: Xia, Chao, et al.
Published: (2026)

Quadratic Hessian equation
by: Yuan, Yu
Published: (2024)

Hessian estimates for special Lagrangian equation by doubling
by: Shankar, Ravi
Published: (2024)

Interior Hessian estimates for Sigma-2 equations in dimension three
by: Qiu, Guohuan
Published: (2017)

Hessian estimates for the conjugate heat equation coupled with the Ricci flow
by: Huang, Hong
Published: (2021)

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space
by: Guo, Mengru, et al.
Published: (2025)

On $L^\infty$ estimates for Monge-Ampère and Hessian equations on nef classes
by: Guo, Bin, et al.
Published: (2021)

Hessian estimates for Lagrangian mean curvature equation with Lipschitz critical and supercritical phases
by: Ding, Qi
Published: (2024)

Overdetermined elliptic problems in nontrivial exterior domains of the hyperbolic space
by: Dai, Guowei, et al.
Published: (2024)

Parabolic frequency monotonicity for two nonlinear equations under Ricci flow
by: Li, Chuanhuan, et al.
Published: (2023)

The structure of fully nonlinear equations and its applications to prescribed problems on complete conformal metrics
by: Yuan, Rirong
Published: (2025)

Weiss monotonicity and capillary hypersurfaces
by: Chodosh, Otis, et al.
Published: (2025)

Hessian matrix estimates of heat-type equations via Bismut-Stroock Hessian formula
by: Cheng, Li-Juan, et al.
Published: (2025)

The linearized translator equation and applications
by: Choi, Kyeongsu, et al.
Published: (2025)

The Dirichlet eigenvalue problems for some concave elliptic Hessian operators
by: Zhang, Jiaogen
Published: (2025)

A special concavity property for positive Hessian quotient operators
by: Guan, Pengfei, et al.
Published: (2025)

Variational integrals on Hessian spaces: partial regularity for critical points
by: Bhattacharya, Arunima, et al.
Published: (2023)

Deriving Perelman's entropy from Colding's monotonic volume
by: Bustamante, Ignacio, et al.
Published: (2025)

Sharp gradient estimates and monotonicity in positive Ricci curvature
by: Manea, Cosmin
Published: (2025)

Hessian estimates for shrinkers, expanders, translators, and rotators of the Lagrangian Mean Curvature Flow
by: Bhattacharya, Arunima, et al.
Published: (2024)

Complex Alexandrov-Bakelman-Pucci estimate and its applications
by: Liu, Junbang
Published: (2024)

Fully non-linear elliptic equations on noncompact complex manifolds
by: Yin, Hanzhang
Published: (2025)

Properties of hypersurface singular sets of solutions to the $σ_k$-Yamabe equation in the negative cone
by: Duncan, Jonah A. J., et al.
Published: (2026)

Liouville Theorem for $k-$curvature equation in half space with fully nonlinear boundary condition
by: Wei, Wei
Published: (2024)

Li-Yau sub-gradient estimates and Perelman-type entropy formulas for the heat equation in quaternionic contact geometry
by: Ivanov, Stefan, et al.
Published: (2024)

Perimeter on a manifold, with applications to partial differential equations
by: Kichenassamy, Satyanad
Published: (2025)

The Dirichlet problem for the minimal surface system on smooth domains
by: Li, Caiyan, et al.
Published: (2025)

A Remark On Case-Gursky-Vétois identity and its applications
by: Li, Mingxiang, et al.
Published: (2024)

The Gauss formulas for Laplacians on submanifolds
by: Chan, Chi Hin, et al.
Published: (2022)

The Yang-Mills equation near instanton-anti-instanton configurations
by: Waldron, Alex, et al.
Published: (2026)

A modified Bakry-Émery $Γ_2$ criterion inequality and the monotonicity of the Tsallis entropy
by: Cai, Xiaohan, et al.
Published: (2025)

A universal Bochner formula for scalar curvature
by: Hirsch, Sven
Published: (2026)

$C^2$ estimates for $k$-Hessian equations and a rigidity theorem
by: Zhang, Ruijia
Published: (2024)

An alternative solvability criterion for the Dirichlet problem for the minimal surface equation and an application to the mean curvature flow
by: Aiolfi, Ari J., et al.
Published: (2025)

The $σ_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$
by: Duncan, Jonah A. J., et al.
Published: (2023)

The Analysis of Willmore Surfaces and its Generalizations in Higher Dimensions
by: Lan, Tian, et al.
Published: (2025)

Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds
by: Cardona, Duván, et al.
Published: (2024)

The $σ_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k=\frac{n}{2}$ and beyond
by: Duncan, Jonah A. J., et al.
Published: (2025)

A priori interior estimates for special Lagrangian curvature equations
by: Qiu, Guohuan, et al.
Published: (2024)