scholarly journals Positive radial solutions for some quasilinear elliptic systems in exterior domains

2006 ◽  
Vol 5 (3) ◽  
pp. 571-581 ◽  
Author(s):  
João Marcos do Ó ◽  
◽  
Sebastián Lorca ◽  
Justino Sánchez ◽  
Pedro Ubilla ◽  
...  
2003 ◽  
Vol 2003 (46) ◽  
pp. 2907-2927 ◽  
Author(s):  
Yang Zuodong

Our main purpose is to establish that entire explosive positive radial solutions exist for quasilinear elliptic systems. The main results of the present paper are new and extend previous results.


2015 ◽  
Vol 08 (03) ◽  
pp. 1550045
Author(s):  
Khalid Iskafi ◽  
Abdelaziz Ahammou

We prove the existence of infinitely many singular radial positive solutions for a quasilinear elliptic system with no variational structure [Formula: see text] where [Formula: see text] is the unit ball of [Formula: see text] [Formula: see text] [Formula: see text], and [Formula: see text] are non-negative functions. We separate two fundamental classes (the sublinear and superlinear class), and we use respectively the Leray–Schauder Theorem and a method of monotone iterations to obtain the existence of many solutions with a property of singularity around the origin. Finally, we give a sufficient condition for the non-existence.


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