Entire large solutions to the k-Hessian equations with weights: Existence, uniqueness and asymptotic behavior

2021 ◽  
pp. 125301
Author(s):  
Haitao Wan ◽  
Yongxiu Shi ◽  
Xiaoyan Qiao
Keyword(s):  
Asymptotic Behavior ◽  
Large Solutions ◽  
Hessian Equations

Boundary behavior of large solutions to a class of Hessian equations

2020 ◽  
pp. 1-16
Author(s):  
Ling Mi ◽  
Chuan Chen
Keyword(s):  
Boundary Condition ◽  
Asymptotic Behavior ◽  
Nonlinear Term ◽  
Boundary Behavior ◽  
Singular Boundary ◽  
Structure Condition ◽  
Hessian Equation ◽  
Large Solutions ◽  
Hessian Equations ◽  
Singular Boundary Condition

In this paper, we consider the m-Hessian equation S m [ D 2 u ] = b ( x ) f ( u ) > 0 in Ω, subject to the singular boundary condition u = ∞ on ∂ Ω. We give estimates of the asymptotic behavior of such solutions near ∂ Ω when the nonlinear term f satisfies a new structure condition.

Large solutions for an elliptic system of competitive type: Existence, uniqueness and asymptotic behavior

2009 ◽  
Vol 71 (10) ◽  
pp. 4544-4552 ◽  
Author(s):  
Chunlai Mu ◽  
Shuibo Huang ◽  
Qiaoyu Tian ◽  
Limin Liu
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic System ◽  
Large Solutions

scholarly journals Large Solutions of Quasilinear Elliptic System of Competitive Type: Existence and Asymptotic Behavior

2010 ◽  
Vol 2010 ◽  
pp. 1-17
Author(s):  
Lin Wei ◽  
Zuodong Yang
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic System ◽  
Smooth Boundary ◽  
Upper And Lower Solutions ◽  
Elliptic Systems ◽  
Quasilinear Elliptic System ◽  
Localization Method ◽  
Large Solutions ◽  
Quasilinear Elliptic Systems ◽  
Quasilinear Elliptic

We study the existence and asymptotic behavior of positive solutions for a class of quasilinear elliptic systems in a smooth boundary via the upper and lower solutions and the localization method. The main results of the present paper are new and extend some previous results in the literature.

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