Special Session 74: Local and Nonlocal Fully Nonlinear Partial Differential Equations of Elliptic and Parabolic Type

Partial regularity for elliptic and parabolic systems with Orlicz growth

Teresa Isernia
Universit\`a Politecnica delle Marche
Italy
Co-Author(s):    
Abstract:
In this talk I will speak about partial regularity results for weak solutions to elliptic and parabolic systems satisfying ellipticity and growth conditions in terms of Orlicz functions. The main result is obtained by using a new $\mathcal{A}$-caloric approximation lemma compatible with an Orlicz setting. This talk is based on joint works with M. Foss, C. Leone and A.Verde.