We consider splitting type variational problems with general growth conditions and prove the partial regularity (and the full regularity in 2D) of minimizers in the case of x-dependence. The results obtained generalize the results of Bildhauer and Fuchs concerning such problems with power growth conditions. Bibliography: 17 titles.
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Translated from Problems in Mathematical Analysis 45, February 2010, pp. 33–52.
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Breit, D. The partial regularity for minimizers of splitting type variational integrals under general growth conditions II. The nonautonomous case. J Math Sci 166, 259–281 (2010). https://doi.org/10.1007/s10958-010-9866-4
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DOI: https://doi.org/10.1007/s10958-010-9866-4