Regularity for minimizers of functionals
 with variable growth and discontinuous coefficients

Xia Zhang; Yan Huo; Yongqiang Fu

doi:10.4064/ap110-2-5

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Tom 110 / 2014

Xia Zhang, Yan Huo, Yongqiang Fu Annales Polonici Mathematici 110 (2014), 171-187 MSC: Primary 49N60. DOI: 10.4064/ap110-2-5

Streszczenie

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.

Autorzy

Xia ZhangDepartment of Mathematics
Harbin Institute of Technology
Harbin 150001, China
e-mail
Yan HuoCollege of Aerospace and Civil Engineering
Harbin Engineering University
Harbin 150001, China
e-mail
Yongqiang FuDepartment of Mathematics
Harbin Institute of Technology
Harbin 150001, China
e-mail

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