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Carozza, Menita; Leonetti, Francesco; Passarelli di Napoli, Antonia

Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set. (English) Zbl 1194.49047

Manuscr. Math. 128, No. 1, 51-68 (2009).
Summary: 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.

Cited in 5 Documents

MSC:

49N60 Regularity of solutions in optimal control
35J60 Nonlinear elliptic equations
35J46 First-order elliptic systems

Keywords:

vector valued minimizers; anisotropic functionals; fractional differentiability; Hausdorff dimension
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References:

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