| Abstract: |
| The talk shall focus on energy integral functionals of the form
$$\int_{\Omega} F(x,Du)\,\dd x,$$
where the integrand is characterized by nonstandard growth conditions with respect to the gradient.
We prove the local boundedness of solutions of partial diferential systems in divergence form.
The systems under consideration include the first variations of functionals depending on the space variable and having nonstandard growth with respect to the gradient, like for instance the model with growth depending on the point, but without assuming the usual $\Delta_2$ condition.
The results are part of a joint project with Elvira Mascolo (University of Florence) and Cintia Pacchiano Camacho (Calgary University). |
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