Boundary blow-up solutions to the k-Hessian equation with a weakly superlinear nonlinearity

2018 ◽  
Vol 464 (1) ◽  
pp. 456-472 ◽  
Author(s):  
Xuemei Zhang ◽  
Meiqiang Feng
Keyword(s):  
Blow Up ◽  
Hessian Equation ◽  
Superlinear Nonlinearity

scholarly journals A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

2020 ◽  
Vol 25 (1) ◽  
Author(s):  
Xinguang Zhang ◽  
Lishan Liu ◽  
Yonghong Wu ◽  
Yujun Cui
Keyword(s):  
Nonlinear Operator ◽  
Blow Up ◽  
Growth Conditions ◽  
Necessary Condition ◽  
Radial Solutions ◽  
Hessian Equation ◽  
Nonexistence And Existence ◽  
Sufficient And Necessary Condition

In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions is established, a sufficient and necessary condition on existence of blow-up solutions is given, and some further results are obtained. 

Boundary blow-up solutions to thek-Hessian equation with singular weights

2018 ◽  
Vol 167 ◽  
pp. 51-66 ◽  
Author(s):  
Xuemei Zhang ◽  
Meiqiang Feng
Keyword(s):  
Blow Up ◽  
Hessian Equation ◽  
Singular Weights

Positive solutions for a quasilinear system Via blow up

1993 ◽  
Vol 18 (12) ◽  
pp. 2071-2106
Author(s):  
Philippe Clément ◽  
Raúl Manásevich ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
Blow Up ◽  
Quasilinear System
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