Regularity for Double Phase Functionals with Two Modulating Coefficients

초록

In this paper, we establish regularity results for local minimizers of functionals with non-standard growth conditions and non-uniform ellipticity properties. The model case is given by the double phase integral with two modulating coefficients w bar right arrow integral [a(x)vertical bar Dw vertical bar(p) + b(x)vertical bar Dw vertical bar(q)]dx, 1 < p < q, a(center dot), b(center dot) >= 0, with 0 < mu <= a(center dot)+ b(center dot). Here, the coefficient b(center dot) is assumed to beHolder continuous and the coefficient a(center dot) is assumed to be uniformly continuous.

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