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Regularity for minimizers of functionals with variable growth and discontinuous coefficients

Xia Zhang; Yan Huo; Yongqiang Fu — 2014

Annales Polonici Mathematici

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.

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