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Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set |
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| Authors: | Menita Carozza Francesco Leonetti Antonia Passarelli di Napoli |
| Affiliation: | (1) Piazza Arechi II, Palazzo De Simone, Università del Sannio, 82100 Benevento, Italy;(2) Dipartimento di Matematica, Università di L’Aquila, Via Vetoio, Coppito, 67010 L’Aquila, Italy;(3) Dipartimento di Mat. e Appl. “R. Caccioppoli”, Universitá di Napoli “Federico”, via Cintia, 80126 Napoli, Italy |
| Abstract: | 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. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000) 49N60 35J60 35J45 |
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