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 ◽  
...  
Keyword(s):  
Elliptic Systems ◽  
Radial Solutions ◽  
Exterior Domains ◽  
Quasilinear Elliptic Systems ◽  
Positive Radial Solutions ◽  
Quasilinear Elliptic

scholarly journals Existence of entire explosive positive radial solutions of quasilinear elliptic systems

2003 ◽  
Vol 2003 (46) ◽  
pp. 2907-2927 ◽  
Author(s):  
Yang Zuodong
Keyword(s):  
Elliptic Systems ◽  
Radial Solutions ◽  
Quasilinear Elliptic Systems ◽  
Positive Radial Solutions ◽  
Quasilinear Elliptic

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.

Infinitely many singular radial solutions for quasilinear elliptic systems

2015 ◽  
Vol 08 (03) ◽  
pp. 1550045
Author(s):  
Khalid Iskafi ◽  
Abdelaziz Ahammou
Keyword(s):  
Elliptic Systems ◽  
Sufficient Condition ◽  
Quasilinear Elliptic System ◽  
Radial Solutions ◽  
Quasilinear Elliptic Systems ◽  
Monotone Iterations ◽  
Variational Structure ◽  
Structure Formula ◽  
Quasilinear Elliptic ◽  
Schauder Theorem

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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