A Unified Boundary Behavior of Large Solutions to Hessian Equations

2020 ◽  
Vol 41 (4) ◽  
pp. 601-614
Author(s):  
Zhijun Zhang
Keyword(s):  
Boundary 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.

scholarly journals Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights

2004 ◽  
Vol 3 (4) ◽  
pp. 653-662 ◽  
Author(s):  
M. Chuaqui ◽  
◽  
C. Cortázar ◽  
M. Elgueta ◽  
J. García-Melián ◽  
...  
Keyword(s):  
Boundary Behavior ◽  
Elliptic Problems ◽  
Large Solutions ◽  
Singular Weights

Boundary behavior of k-convex solutions for singular k-Hessian equations

2018 ◽  
Vol 176 ◽  
pp. 141-156 ◽  
Author(s):  
Huayuan Sun ◽  
Meiqiang Feng
Keyword(s):  
Boundary Behavior ◽  
Hessian Equations
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