第23回
- 講演者 : Flavia Giannetti 氏 (Universit\`a degli Studi di Napoli Federico II)
- 題目 : Some regularity properties for minimizers of non autonomous functionals with nonstandard growth conditions
- 日時 : 平成29年3月21日（火）15:00 – 16:00
I will talk about some regularity properties of the local minimizers of integral functionals of the type \[\int_{\Omega}\Phi1)$ is uniformly continuous. I will also discuss the more general case of integral functionals whose integrand exhibits the dependence on the $x$ variable both in the coefficients and in the exponent. More precisely, I will deal with the regularity properties of the local minimizers of integral functionals of the type \[ \int_{\Omega}\Phi^{p(x)}((A_{ij}^{\alpha\beta}(x,u)D_iu^{\alpha}D_ju^{\beta})^{1/2})\,dx, \] where $p(x):\Omega\to(1,+\infty)$ is a continuous function. All the results I will show are contained in two recent papers in collaboration with Antonia Passarelli di Napoli, Maria Alessandra Ragusa and Atsushi Tachikawa.
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