Boundary behavior of monotone Sobolev functions on John domains in a metric space

Author(s):  
Toshihide Futamura ◽  
Yoshihiro Mizuta
2008 ◽  
Vol 192 ◽  
pp. 137-149 ◽  
Author(s):  
Pekka Pankka ◽  
Pietro Poggi-Corradini ◽  
Kai Rajala

AbstractWe answer a question posed in [12] on exponential integrability of functions of restricted n-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.


2013 ◽  
Vol 57 (4) ◽  
pp. 1025-1033 ◽  
Author(s):  
Fausto Di Biase ◽  
Toshihide Futamura ◽  
Tetsu Shimomura

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