Lunedì 10 dicembre alle ore 15:00, presso l'Aula D del Plesso di Matematica, il dott. Yeonghun Youn, Ph.D. della Seoul National University, terrà un seminario dal titolo:
"Gradient potential theory for nonlinear elliptic problems".
Tutti gli interessati sono invitati a partecipare.
In this thesis, we consider pointwise gradient estimates for elliptic systems without quasi-diagonal structures and measure data problems with non-standard growths, via linear potentials which have embedding properties deriving several regularity results for elliptic equations.
In the gradient potential theory, we need to apply linearization techniques, since we want to obtain linear potential estimates for nonlinear equations. We further discuss recent linearization techniques along with exit time argument.