monotone sobolev functions
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Monotone Sobolev Functions in Planar Domains: Level Sets and Smooth Approximation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-020-01563-x ◽

2020 ◽

Vol 238 (3) ◽

pp. 1199-1230

Author(s):

Dimitrios Ntalampekos

Keyword(s):

Smooth Approximation ◽

Planar Domains ◽

Sobolev Functions ◽

Monotone Sobolev Functions

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Continuity of weakly monotone Sobolev functions of variable exponent

Potential Theory in Matsue ◽

10.2969/aspm/04410127 ◽

2019 ◽

Author(s):

Toshihide Futamura ◽

Yoshihiro Mizuta

Keyword(s):

Variable Exponent ◽

Sobolev Functions ◽

Monotone Sobolev Functions

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Lindelöf theorems for monotone Sobolev functions in Orlicz spaces on uniform domains

Mathematische Nachrichten ◽

10.1002/mana.201800014 ◽

2018 ◽

Vol 292 (4) ◽

pp. 793-804

Author(s):

Toshihide Futamura ◽

Tetsu Shimomura

Keyword(s):

Orlicz Spaces ◽

Sobolev Functions ◽

Uniform Domains ◽

Monotone Sobolev Functions

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Boundary Behavior of Monotone Sobolev Functions in Orlicz Spaces on John Domains in a Metric Space

Journal of Geometric Analysis ◽

10.1007/s12220-017-9860-x ◽

2017 ◽

Vol 28 (2) ◽

pp. 1233-1244 ◽

Author(s):

Toshihide Futamura ◽

Tetsu Shimomura

Keyword(s):

Metric Space ◽

Boundary Behavior ◽

Orlicz Spaces ◽

Sobolev Functions ◽

John Domains ◽

Monotone Sobolev Functions

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Boundary limits of monotone Sobolev functions in Musielak–Orlicz spaces on uniform domains in a metric space

Kyoto Journal of Mathematics ◽

10.1215/21562261-3759549 ◽

2017 ◽

Vol 57 (1) ◽

pp. 147-164 ◽

Author(s):

Takao Ohno ◽

Tetsu Shimomura

Keyword(s):

Metric Space ◽

Orlicz Spaces ◽

Sobolev Functions ◽

Uniform Domains ◽

Boundary Limits ◽

Monotone Sobolev Functions

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Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space

Revista Matemática Complutense ◽

10.1007/s13163-014-0154-6 ◽

2014 ◽

Vol 28 (1) ◽

pp. 31-48

Author(s):

Toshihide Futamura ◽

Takao Ohno ◽

Tetsu Shimomura

Keyword(s):

Metric Space ◽

Variable Exponent ◽

Sobolev Functions ◽

Uniform Domains ◽

Boundary Limits ◽

Monotone Sobolev Functions

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On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces

Acta Mathematica Sinica English Series ◽

10.1007/s10114-013-0575-z ◽

2013 ◽

Vol 29 (3) ◽

pp. 461-470

Author(s):

Toshihide Futamura ◽

Tetsu Shimomura

Keyword(s):

Variable Exponent ◽

Orlicz Spaces ◽

Sobolev Functions ◽

Boundary Limits ◽

Monotone Sobolev Functions

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Lindelöf theorems for monotone Sobolev functions in Orlicz spaces

Illinois Journal of Mathematics ◽

10.1215/ijm/1417442561 ◽

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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Lindelöf theorems for monotone Sobolev functions with variable exponentDedicated to Professor Yoshihiro Mizuta on the occasion of his sixtieth birthday.

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.84.25 ◽

2008 ◽

Vol 84 (2) ◽

pp. 25-28 ◽

Author(s):

Toshihide Futamura ◽

Tetsu Shimomura

Keyword(s):

Sixtieth Birthday ◽

Sobolev Functions ◽

Monotone Sobolev Functions

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Sharp Exponential Integrability for Traces of Monotone Sobolev Functions

Nagoya Mathematical Journal ◽

10.1017/s0027763000026015 ◽

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.

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