Existence, Uniqueness and Blow-up Rate of Large Solutions of Quasi-linear Elliptic Equations with Higher Order and Large Perturbation

2013 ◽  
Vol 26 (3) ◽  
pp. 226-250 ◽  
Author(s):  
Qihu Zhang and Chunshan Zhao sci
Keyword(s):  
Elliptic Equations ◽  
Blow Up ◽  
Higher Order ◽  
Large Solutions ◽  
Large Perturbation ◽  
Blow Up Rate

scholarly journals On Explosive Solutions for a Class of Quasi-linear Elliptic Equations

2013 ◽  
Vol 13 (3) ◽  
Author(s):  
Francesca Gladiali ◽  
Marco Squassina
Keyword(s):  
Elliptic Equations ◽  
Blow Up ◽  
Large Solutions ◽  
Boundary Curvature ◽  
Blow Up Rate

AbstractWe study existence, uniqueness, multiplicity and symmetry of large solutions for a class of quasi-linear elliptic equations. Furthermore, we characterize the boundary blow-up rate of solutions, including the case where the contribution of boundary curvature appears.

The exact blow-up rates of large solutions for semilinear elliptic equations

2010 ◽  
Vol 73 (11) ◽  
pp. 3489-3501 ◽  
Author(s):  
Shuibo Huang ◽  
Qiaoyu Tian ◽  
Shengzhi Zhang ◽  
Jinhua Xi ◽  
Zheng-en Fan
Keyword(s):  
Elliptic Equations ◽  
Blow Up ◽  
Semilinear Elliptic Equations ◽  
Large Solutions ◽  
Semilinear Elliptic
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