scholarly journals Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a quasilinear reaction–diffusion system

2003 ◽  
Vol 150 (1) ◽  
pp. 37-56 ◽  
Author(s):  
Zuodong Yang ◽  
Qishao Lu
2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Jun Zhou

This paper considers the singularity properties of positive solutions for a reaction-diffusion system with nonlocal boundary condition. The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the blow-up rate estimate for the blow-up solution.


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