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The book contains two contributions about the work of Emmanuele
DiBenedetto and a selection of original papers. The authors are
some of the main experts in Harnack's inequalities and nonlinear
operators. These papers are part of the contributions presented
during the conference to celebrate the 70th birthday of Prof.
Emmanuele DiBenedetto, which was held at "Il Palazzone" in Cortona
from June 18th to 24th, 2017. The papers are focused on current
research topics regarding the qualitative properties of solutions,
connections with calculus of variations, Harnack inequality and
regularity theory. Some papers are also related to various
applications. Many of the authors have shared with Prof.
DiBenedetto an intense scientific and personal collaboration, while
many others have taken inspiration from and further developed his
field of research. The topics of the conference are certainly of
great interest for the international mathematical community.
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