Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang, Yan Huo, and Yongqiang Fu. "Regularity for minimizers of functionals with variable growth and discontinuous coefficients." Annales Polonici Mathematici 110.2 (2014): 171-187. <http://eudml.org/doc/281035>.

@article{XiaZhang2014,
abstract = {Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.},
author = {Xia Zhang, Yan Huo, Yongqiang Fu},
journal = {Annales Polonici Mathematici},
keywords = {local minimizer; Hölder continuity; variable exponent Sobolev space},
language = {eng},
number = {2},
pages = {171-187},
title = {Regularity for minimizers of functionals with variable growth and discontinuous coefficients},
url = {http://eudml.org/doc/281035},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Xia Zhang
AU - Yan Huo
AU - Yongqiang Fu
TI - Regularity for minimizers of functionals with variable growth and discontinuous coefficients
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 2
SP - 171
EP - 187
AB - Based on the theory of variable exponent spaces, we study the regularity of local minimizers for a class of functionals with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain local Hölder continuity of minimizers.
LA - eng
KW - local minimizer; Hölder continuity; variable exponent Sobolev space
UR - http://eudml.org/doc/281035
ER -