Normal solutions of elliptic equations

1996 ◽  
Vol 119 (2) ◽  
pp. 363-371 ◽  
Author(s):  
Pekka Koskela
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Elliptic Equations ◽  
Harmonic Functions ◽  
Elliptic Partial Differential Equations ◽  
Boundary Behaviour ◽  
Partial Differential ◽  
Sobolev Functions ◽  
Monotone Sobolev Functions

AbstractWe extend a number of known criteria for normality of analytic and harmonic functions to the setting of solutions to elliptic partial differential equations. Some of the results hold for monotone Sobolev functions. We also discuss the boundary behaviour of monotone Sobolev functions.

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