The absence of solutions is itself a theorem — perhaps the deepest kind.On the philosophy behind nonexistence results in nonlinear PDEs
Enzo Mitidieri is a professor of Mathematical Analysis at the University of Trieste. His career has produced pioneering results in the existence, nonexistence, and qualitative behavior of solutions to nonlinear PDEs, including the development — jointly with Stanislav I. Pokhozhaev (1935–2014) — of a general theory of nonexistence based on the nonlinear capacity method.
He collaborates with Victor A. Galaktionov (University of Bath) and Lorenzo D'Ambrosio (Università di Udine). He has served as Editor-in-Chief of Nonlinear Analysis A (2009–2019) and as Director of the Department of Mathematics and Informatics, University of Trieste (1997–2002). He has given invited and plenary lectures across Europe, the Americas, Russia, and Japan.
Seventeen years of joint work with Stanislav I. Pokhozhaev (1935–2014), developing a general nonexistence theory via the nonlinear capacity method.
9 students · 15 academic descendants · Mathematics Genealogy Project
Dipartimento di Matematica e Geoscienze
Università degli Studi di Trieste
Via Weiss 2, 34128 Trieste, Italy