Hölder regularity for a class of doubly non Linear PDEs

We prove locali Holder continuity for non negative, locally bounded, local weak solutions for a class of doubly nonlinear parabolic equations. The novelty of the proof of such result Is given by the use of an expansion of positività argoment, combined with the study of an alternative (related tò DeGiorgi-type lemmas) and an exponential shift which allows us tò deal with the intrinsic geometry associated tò the problem. Seminario organizzato per il ciclo di seminari ASK