Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set

Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set
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DOI:
10.1007/s00229-008-0224-5
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发表时间:
2009
影响因子:
0.6
通讯作者:
M. Carozza;F. Leonetti;Antonia Passarelli di Napoli
M. Carozza;F. Leonetti;Antonia Passarelli di Napoli
中科院分区:
数学4区
文献类型:
--
作者:
M. Carozza;F. Leonetti;Antonia Passarelli di Napoli

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We prove “fractional” higher differentiability for the gradient of minimizers of anisotropic integral functionals, if the growth exponents are no too far apart. This allows us to give an estimate for the Hausdorff dimension of the singular set of the minimizers.