Advances in Singular and Degenerate PDEs

Abstract

This review was written with a dual purpose; on the one hand, to collect all the topics dealt with during the conference “Advances in Singular and Degenerate PDEs”. For this reason, in the first part of this work, the abstracts of the lectures during the workshop are shown. On the other hand, as well as the workshop, this work is a way to celebrate the career of Professor Maria Agostina Vivaldi. Professor Vivaldi’s long career and her work are hence highlighted in this work; moreover, some of the more recent results obtained by Professor Vivaldi about problems involving p-Laplace-type operators in fractal and pre-fractal boundary domains are here illustrated and discussed. In conclusion, some new recent outcomes and new perspectives are outlined.

Keywords

• partial differential equations
• singular and degenerate operators