scholarly journals The analogue of Picard's theorem for quasiregular mappings in dimension three

1985 ◽  
Vol 154 (3-4) ◽  
pp. 195-242 ◽  
Author(s):  
Seppo Rickman
Keyword(s):  
Quasiregular Mappings ◽  
Picard’S Theorem ◽  
Picard's Theorem

Picard’s Theorem

2001 ◽  
pp. 87-96
Author(s):  
Raghavan Narasimhan ◽  
Yves Nievergelt
Keyword(s):  
Picard’S Theorem ◽  
Picard's Theorem

Picard's Theorem Without Tears

1978 ◽  
Vol 85 (4) ◽  
pp. 265-268
Author(s):  
Lawrence Zalcman
Keyword(s):  
Picard’S Theorem ◽  
Picard's Theorem

An Equivalent Form of Picard’s Theorem and Beyond

2018 ◽  
Vol 61 (1) ◽  
pp. 142-148 ◽  
Author(s):  
Bao Qin Li
Keyword(s):  
Functional Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Equivalent Form ◽  
Entire Solutions ◽  
Partial Differential ◽  
Picard’S Theorem ◽  
Picard's Theorem

AbstractThis paper gives an equivalent form of Picard’s theorem via entire solutions of the functional equation f2 + g2 = 1 and then its improvements and applications to certain nonlinear (ordinary and partial) differential equations.

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