Variable Sobolev capacity and the assumptions on the exponent

@article{PetteriHarjulehto2005,
abstract = {In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.},
author = {Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen},
journal = {Banach Center Publications},
keywords = {variable exponent Sobolev space; Sobolev capacity},
language = {eng},
number = {1},
pages = {51-59},
title = {Variable Sobolev capacity and the assumptions on the exponent},
url = {http://eudml.org/doc/281981},
volume = {68},
year = {2005},
}

TY - JOUR
AU - Petteri Harjulehto
AU - Peter Hästö
AU - Mika Koskenoja
AU - Susanna Varonen
TI - Variable Sobolev capacity and the assumptions on the exponent
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 51
EP - 59
AB - In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
LA - eng
KW - variable exponent Sobolev space; Sobolev capacity
UR - http://eudml.org/doc/281981
ER -