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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Complex Variables Theory and Application An International Journal ◽

10.1080/02781070500140532 ◽

2005 ◽

Vol 50 (6) ◽

pp. 441-451 ◽

Author(s):

Toshihide Futamura ◽

Yoshihiro Mizuta

Keyword(s):

Metric Space ◽

Boundary Behavior ◽

Sobolev Functions ◽

John Domains ◽

Monotone Sobolev Functions

Download Full-text

Lindelöf theorems for monotone Sobolev functions on uniform domains

Hiroshima Mathematical Journal ◽

10.32917/hmj/1150998512 ◽

2004 ◽

Vol 34 (3) ◽

pp. 413-422 ◽

Author(s):

Toshihide Futamura

Keyword(s):

Sobolev Functions ◽

Uniform Domains ◽

Monotone Sobolev Functions

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Poincaré inequalities, uniform domains and extension properties for Newton–Sobolev functions in metric spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.09.064 ◽

2007 ◽

Vol 332 (1) ◽

pp. 190-208 ◽

Author(s):

Jana Björn ◽

Nageswari Shanmugalingam

Keyword(s):

Metric Spaces ◽

Poincaré Inequalities ◽

Poincare Inequalities ◽

Sobolev Functions ◽

Uniform Domains

Download Full-text

On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv:2007049 ◽

2008 ◽

Vol 14 (2) ◽

pp. 211-232 ◽

Author(s):

Lars Diening ◽

Josef Málek ◽

Mark Steinhauer

Keyword(s):

Variable Exponent ◽

Sobolev Functions

Download Full-text