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
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文献类型:
--
作者:
M. Carozza;F. Leonetti;Antonia Passarelli di Napoli
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.