scholarly journals Regularity of elliptic systems in divergence form with directional homogenization

2018 ◽  
Vol 38 (1) ◽  
pp. 75-90 ◽  
Author(s):  
Rong Dong ◽  
◽  
Dongsheng Li ◽  
Lihe Wang ◽  
Keyword(s):  
Elliptic Systems ◽  
Divergence Form

scholarly journals Quasilinear elliptic systems in divergence form associated to general nonlinearities

2018 ◽  
Vol 7 (4) ◽  
pp. 425-447 ◽  
Author(s):  
Lorenzo D’Ambrosio ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Systems ◽  
Divergence Form ◽  
Systems Of Equations ◽  
Quasilinear Elliptic Systems ◽  
Open Set ◽  
Priori Estimates ◽  
Quasilinear Elliptic

AbstractThe paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of {\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local assumption near zero. As a consequence, in the case {\Omega=\mathbb{R}^{N}}, we obtain nonexistence theorems of positive solutions. No hypotheses on the solutions at infinity are assumed.

scholarly journals Quasilinear Degenerated Elliptic Systems with Weighted in Divergence Form with Weak Monotonicity with General Data

2021 ◽  
Vol 12 (06) ◽  
pp. 500-519
Author(s):  
Abdelkrim Barbara ◽  
El Houcine Rami ◽  
Elhoussine Azroul
Keyword(s):  
Elliptic Systems ◽  
Divergence Form ◽  
Weak Monotonicity ◽  
General Data
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