scholarly journals Non-variational elliptic systems in dimension two: a priori bounds and existence of positive solutions

2008 ◽  
Vol 4 (1) ◽  
pp. 77-96 ◽  
Author(s):  
Djairo G. de Figueiredo ◽  
João Marcos do Ó ◽  
Bernhard Ruf
Keyword(s):  
Positive Solutions ◽  
A Priori ◽  
Elliptic Systems ◽  
A Priori Bounds ◽  
Existence Of Positive Solutions

scholarly journals Semilinear Elliptic Systems With Exponential Nonlinearities in Two Dimensions

2006 ◽  
Vol 6 (2) ◽  
Author(s):  
Djairo G. de Figueiredo ◽  
João Marcos do Ó ◽  
Bernhard Ruf
Keyword(s):  
Positive Solutions ◽  
A Priori ◽  
Elliptic Systems ◽  
Two Dimensions ◽  
Smooth Domain ◽  
A Priori Bounds ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic

AbstractWe establish a priori bounds for positive solutions of semilinear elliptic systems of the formwhere Ω is a bounded and smooth domain in ℝ

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