Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang; Yan Huo; Yongqiang Fu

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 2, page 171-187
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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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 -

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