Regularity results for non-autonomous variational integrals with discontinuous coefficients

  • Antonia Passarelli di Napoli

    Università degli Studi di Napoli Federico II, Italy

Abstract

We investigate the regularity propertiesof local minimizers of non autonomous convex integral functionals of the type

with -growth into the gradient variable and discontinuous dependence on the variable. We prove a higher differentiability result for local minimizers of the functional assuming that the function that measures the oscillation of the integrand with respect to the variable belongs to a suitable Sobolev space.

Cite this article

Antonia Passarelli di Napoli, Regularity results for non-autonomous variational integrals with discontinuous coefficients. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 4, pp. 475–496

DOI 10.4171/RLM/717