We prove “fractional” higher differentiability for the gradient of minimizers of some 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 minimizers.

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

LEONETTI, Francesco;
2009-01-01

Abstract

We prove “fractional” higher differentiability for the gradient of minimizers of some 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 minimizers.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/19209
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