Geodesic
Regularity for minimizers of functionals with variable growth and discontinuous coefficients
Xia Zhang1 ; Yan Huo2 ; Yongqiang Fu1
1 Department of Mathematics Harbin Institute of Technology Harbin 150001, China
2 College of Aerospace and Civil Engineering Harbin Engineering University Harbin 150001, China
Annales Polonici Mathematici, Tome 110 (2014) no. 2, pp. 171-187.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap110-2-5
Keywords: based theory variable exponent spaces study regularity local minimizers class functionals variable growth discontinuous coefficients under suitable assumptions obtain local lder continuity minimizers

Xia Zhang 1 ; Yan Huo 2 ; Yongqiang Fu 1

1 Department of Mathematics Harbin Institute of Technology Harbin 150001, China
2 College of Aerospace and Civil Engineering Harbin Engineering University Harbin 150001, China 
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Xia Zhang; Yan Huo; Yongqiang Fu. Regularity for minimizers of functionals
 with variable growth and discontinuous coefficients. Annales Polonici Mathematici, Tome 110 (2014) no. 2, pp. 171-187. doi : 10.4064/ap110-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap110-2-5/

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