Uniform Lipschitz Estimates of Homogenization of Elliptic Systems in Divergence Form with Dini Conditions

2021 ◽  
Vol 37 (1) ◽  
pp. 48-68
Author(s):  
Rong Dong ◽  
Dong-sheng Li ◽  
Hai-liang Zhang
Keyword(s):  
Elliptic Systems ◽  
Divergence Form ◽  
Lipschitz Estimates

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 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 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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