scholarly journals A Pogorelov estimate and a Liouville-type theorem to parabolic k-Hessian equations

2021 ◽  
pp. 2150001
Author(s):  
Yan He ◽  
Haoyang Sheng ◽  
Ni Xiang ◽  
Jiannan Zhang
Keyword(s):  
Linear Function ◽  
Type Theorem ◽  
Quadratic Polynomial ◽  
Quadratic Growth ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Monotone Solution ◽  
Hessian Equations ◽  
Liouville Type Theorems

We consider Pogorelov estimates and Liouville-type theorems to parabolic [Formula: see text]-Hessian equations of the form [Formula: see text] in [Formula: see text]. We derive that any [Formula: see text]-convex-monotone solution to [Formula: see text] when [Formula: see text] satisfies a quadratic growth and [Formula: see text] must be a linear function of [Formula: see text] plus a quadratic polynomial of [Formula: see text].

scholarly journals Liouville-type Theorems for Polyharmonic Hénon-Lane-Emden System

2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Quoc Hung Phan
Keyword(s):  
Type Theorem ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Liouville Type Theorems

AbstractWe study Liouville-type theorem for polyharmonic Hénon-Lane-Emden system (−Δ)

A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space

2015 ◽  
Vol 15 (1) ◽  
Author(s):  
Zhao Liu ◽  
Wei Dai
Keyword(s):  
Boundary Conditions ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Dirichlet Boundary ◽  
Type Theorem ◽  
Dirichlet Boundary Conditions ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Harmonic System

AbstractIn this paper, we consider the following poly-harmonic system with Dirichlet boundary conditions in a half space ℝwherewhereis the Green’s function in ℝ

scholarly journals CR Sub-Laplacian Comparison and Liouville-Type Theorem in a Complete Noncompact Sasakian Manifold

2018 ◽  
Vol 29 (2) ◽  
pp. 1676-1705 ◽  
Author(s):  
Shu-Cheng Chang ◽  
Ting-Jung Kuo ◽  
Chien Lin ◽  
Jingzhi Tie
Keyword(s):  
Type Theorem ◽  
Sasakian Manifold ◽  
Liouville Type ◽  
Liouville Type Theorem
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