scholarly journals Large solutions to semi-linear elliptic systems with variable exponents

2014 ◽  
Vol 420 (2) ◽  
pp. 1478-1499 ◽  
Author(s):  
Alan V. Lair ◽  
Ahmed Mohammed
Keyword(s):  
Elliptic Systems ◽  
Variable Exponents ◽  
Large Solutions

scholarly journals Large solutions of elliptic systems of second order and applications to the biharmonic equation

2012 ◽  
Vol 32 (2) ◽  
pp. 411-432
Author(s):  
Marie-Françoise Bidaut-Véron ◽  
◽  
Marta García-Huidobro ◽  
Cecilia Yarur ◽  
◽  
...  
Keyword(s):  
Biharmonic Equation ◽  
Elliptic Systems ◽  
Second Order ◽  
Large Solutions

scholarly journals EXISTENCE OF SOLUTIONS FOR CRITICAL SYSTEMS WITH VARIABLE EXPONENTS

2018 ◽  
Vol 23 (4) ◽  
pp. 596-610 ◽  
Author(s):  
Hadjira Lalilia ◽  
Saadia Tas ◽  
Ali Djellit
Keyword(s):  
Existence Result ◽  
Existence Of Solutions ◽  
Elliptic Systems ◽  
Growth Conditions ◽  
Critical Growth ◽  
Concentration Compactness ◽  
Variable Exponents ◽  
Critical Systems ◽  
Concentration Compactness Principle ◽  
Compactness Principle

In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. Using a variant of concentration-compactness principle, we prove an existence result.

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