scholarly journals Regularity for Elliptic Equations with General Growth Conditions

1993 ◽  
Vol 105 (2) ◽  
pp. 296-333 ◽  
Author(s):  
P. Marcellini
Keyword(s):  
Elliptic Equations ◽  
Growth Conditions ◽  
General Growth

scholarly journals Regularity under sharp anisotropic general growth conditions

2009 ◽  
Vol 11 (1) ◽  
pp. 67-86
Author(s):  
Giovanni Cupini ◽  
◽  
Paolo Marcellini ◽  
Elvira Mascolo
Keyword(s):  
Growth Conditions ◽  
General Growth

scholarly journals Harnack inequality for non-divergence structure semi-linear elliptic equations

2018 ◽  
Vol 7 (3) ◽  
pp. 259-269 ◽  
Author(s):  
Ahmed Mohammed ◽  
Giovanni Porru
Keyword(s):  
Elliptic Operator ◽  
Harnack Inequality ◽  
Elliptic Equations ◽  
Growth Conditions ◽  
Divergence Structure ◽  
Conditions At Infinity

AbstractIn this paper we establish a Harnack inequality for non-negative solutions of {Lu=f(u)} where L is a non-divergence structure uniformly elliptic operator and f is a non-decreasing function that satisfies an appropriate growth conditions at infinity.

scholarly journals Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

2021 ◽  
Vol 270 ◽  
pp. 435-475
Author(s):  
Cecilia Cavaterra ◽  
Serena Dipierro ◽  
Alberto Farina ◽  
Zu Gao ◽  
Enrico Valdinoci
Keyword(s):  
Elliptic Equations ◽  
Growth Conditions ◽  
Entire Solutions ◽  
Gradient Bounds
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