Jean Leray was a French mathematician, who worked on both partial differential equations and algebraic topology.
Jürgen Kurt Moser was a German-American mathematician, honored for work spanning over four decades, including Hamiltonian dynamical systems and partial differential equations.
Ennio De Giorgi was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
Louis Nirenberg was a Canadian-American mathematician, considered one of the most outstanding mathematicians of the 20th century.
Olga Aleksandrovna Ladyzhenskaya was a Russian mathematician who worked on partial differential equations, fluid dynamics, and the finite-difference method for the Navier–Stokes equations. She received the Lomonosov Gold Medal in 2002. She authored more than two hundred scientific publications, including six monographs.
Luis Ángel Caffarelli is an Argentine-American mathematician. He studies partial differential equations and their applications. Caffarelli is a professor of mathematics at the University of Texas at Austin, and the winner of the 2023 Abel Prize.
Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of regular problems in the calculus of variations are always analytic. Informally, and perhaps less directly, since Hilbert's concept of a "regular variational problem" identifies this precisely as a variational problem whose Euler–Lagrange equation is an elliptic partial differential equation with analytic coefficients, Hilbert's nineteenth problem, despite its seemingly technical statement, simply asks whether, in this class of partial differential equations, any solution inherits the relatively simple and well understood property of being an analytic function from the equation it satisfies. Hilbert's nineteenth problem was solved independently in the late 1950s by Ennio De Giorgi and John Forbes Nash, Jr.
Lawrence Craig Evans is an American mathematician and Professor of Mathematics at the University of California, Berkeley.
In mathematics, a (real) Monge–Ampère equation is a nonlinear second-order partial differential equation of special kind. A second-order equation for the unknown function u of two variables x,y is of Monge–Ampère type if it is linear in the determinant of the Hessian matrix of u and in the second-order partial derivatives of u. The independent variables (x,y) vary over a given domain D of R2. The term also applies to analogous equations with n independent variables. The most complete results so far have been obtained when the equation is elliptic.
The Bartolozzi Prize is awarded by the Italian Mathematical Union every two years to a young Italian mathematician. The 2019 edition was reserved to female Italian mathematicians below the age of 40. The prize is entitled in the memory of the Italian mathematician Giuseppe Bartolozzi and is worth €3,000.
Enrico Giusti was an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, minimal surfaces and history of mathematics. He was professor of mathematics at the Università di Firenze; he also taught and conducted research at the Australian National University at Canberra, at the Stanford University and at the University of California, Berkeley. After retirement, he devoted himself to the managing of the "Giardino di Archimede", a museum entirely dedicated to mathematics and its applications. Giusti was also the editor-in-chief of the international journal dedicated to the history of mathematics Bollettino di storia delle scienze matematiche.
Mariano Giaquinta, is an Italian mathematician mainly known for his contributions to the fields of calculus of variations and regularity theory of partial differential equation. He is currently professor of Mathematics at the Scuola Normale Superiore di Pisa and he is the director of De Giorgi center at Pisa.
Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations.
Giuseppe Mingione is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations.
Paolo Marcellini is an Italian mathematician who deals with mathematical analysis. He was a full professor at the University of Florence, actually Professor Emeritus, who works on partial differential equations, calculus of variations and related mathematics. He was the Director of the Italian National Group GNAMPA of the Istituto Nazionale di Alta Matematica (INdAM) and Dean of the Faculty of Mathematical, Physical and Natural Sciences of the University of Florence.
Susanna Terracini is an Italian mathematician known for her research on chaos in Hamiltonian dynamical systems, including the n-body problem, reaction–diffusion systems, and the Schrödinger equation.
Alessandra Lunardi is an Italian mathematician specializing in mathematical analysis. She is a professor in the department of mathematics and computer science at the University of Parma. She is particularly interested in Kolmogorov equations and free boundary problems.
Xavier Ros Oton is a Spanish mathematician who works on partial differential equations (PDEs). He is an ICREA Research Professor and a Full Professor at the University of Barcelona.
Maria Colombo is an Italian mathematician specializing in mathematical analysis. She is a professor at the EPFL in Switzerland, where she holds the chair for mathematical analysis, calculus of variations and partial differential equations.
Serena Dipierro is an Italian mathematician whose research involves partial differential equations, the regularity of their solution, their phase transitions, nonlocal operators, and free boundary problems, with applications including population dynamics, quantum mechanics, crystallography, and mathematical finance. She is a professor in the School of Physics, Mathematics and Computing at the University of Western Australia, where she heads the department of mathematics and statistics.
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