Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang; Yongqiang Fu; Yan Huo

doi:10.4064/ap110-2-5

Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang^*
, Yongqiang Fu
, Yan Huo

^*Corresponding author for this work

School of Mathematics

Harbin Engineering University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	171-187
Number of pages	17
Journal	Annales Polonici Mathematici
Volume	110
Issue number	2
DOIs	https://doi.org/10.4064/ap110-2-5
State	Published - 2014

Keywords

Hölder continuity
Local minimizer
Variable exponent Sobolev space

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title = "Regularity for minimizers of functionals with variable growth and discontinuous coefficients",

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 H{\"o}lder continuity of minimizers.",

keywords = "H{\"o}lder continuity, Local minimizer, Variable exponent Sobolev space",

author = "Xia Zhang and Yongqiang Fu and Yan Huo",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2014.",

year = "2014",

doi = "10.4064/ap110-2-5",

language = "英语",

volume = "110",

pages = "171--187",

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publisher = "Institute of Mathematics. Polish Academy of Sciences",

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T1 - Regularity for minimizers of functionals with variable growth and discontinuous coefficients

AU - Zhang, Xia

AU - Fu, Yongqiang

AU - Huo, Yan

N1 - Publisher Copyright: © Instytut Matematyczny PAN, 2014.

PY - 2014

Y1 - 2014

N2 - 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.

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.

KW - Hölder continuity

KW - Local minimizer

KW - Variable exponent Sobolev space

UR - https://www.scopus.com/pages/publications/84907244651

U2 - 10.4064/ap110-2-5

DO - 10.4064/ap110-2-5

M3 - 文章

AN - SCOPUS:84907244651

SN - 0066-2216

VL - 110

SP - 171

EP - 187

JO - Annales Polonici Mathematici

JF - Annales Polonici Mathematici

IS - 2

ER -

Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Abstract

Keywords

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