scholarly journals Monotone Sobolev Functions in Planar Domains: Level Sets and Smooth Approximation

2020 ◽  
Vol 238 (3) ◽  
pp. 1199-1230
Author(s):  
Dimitrios Ntalampekos
Keyword(s):  
Level Sets ◽  
Smooth Approximation ◽  
Planar Domains ◽  
Sobolev Functions ◽  
Monotone Sobolev Functions

Smooth Approximation of Sobolev Functions on Planar Domains

1994 ◽  
Vol 49 (2) ◽  
pp. 309-330 ◽  
Author(s):  
Wayne Smith ◽  
Alexander Stanoyevitch ◽  
David A. Stegenga
Keyword(s):  
Smooth Approximation ◽  
Planar Domains ◽  
Sobolev Functions

scholarly journals On the Morse–Sard property and level sets of Wn,1 Sobolev functions on ℝn

2015 ◽  
Vol 2015 (700) ◽  
Author(s):  
Jean Bourgain ◽  
Mikhail V. Korobkov ◽  
Jan Kristensen
Keyword(s):  
Level Sets ◽  
Sobolev Functions

AbstractWe establish Luzin

scholarly journals Sharp Exponential Integrability for Traces of Monotone Sobolev Functions

2008 ◽  
Vol 192 ◽  
pp. 137-149 ◽  
Author(s):  
Pekka Pankka ◽  
Pietro Poggi-Corradini ◽  
Kai Rajala
Keyword(s):  
Unit Ball ◽  
Exponential Integrability ◽  
Geometric Methods ◽  
Sobolev Functions ◽  
Integrability Of Functions ◽  
Monotone Sobolev Functions

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.

scholarly journals Lindelöf theorems for monotone Sobolev functions in Orlicz spaces

2013 ◽  
Vol 57 (4) ◽  
pp. 1025-1033 ◽  
Author(s):  
Fausto Di Biase ◽  
Toshihide Futamura ◽  
Tetsu Shimomura
Keyword(s):  
Orlicz Spaces ◽  
Sobolev Functions ◽  
Monotone Sobolev Functions
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