Fabrice Bethuel (born 7 June 1963) is a French mathematician. He holds a chair at Paris VI University.

Bethuel earned his doctorate at Paris-Sud 11 University in 1989, under supervision of Jean-Michel Coron. In 1998 Bethuel was an Invited Speaker of the International Congress of Mathematicians in Berlin.^[1] He won the 1999 Fermat Prize, jointly with Frédéric Hélein, for several important contributions to the theory of variational calculus. He also won the 2003 Mergier–Bourdeix Prize [fr] for his fundamental discoveries at the interface between analysis, topology, geometry, and physics.^[2]

Notable publications

Research articles

• Fabrice Bethuel and Xiao Min Zheng. Density of smooth functions between two manifolds in Sobolev spaces. J. Funct. Anal. 80 (1988), no. 1, 60–75.
• Fabrice Bethuel. The approximation problem for Sobolev maps between two manifolds. Acta Math. 167 (1991), no. 3-4, 153–206.
• Fabrice Bethuel. On the singular set of stationary harmonic maps. Manuscripta Math. 78 (1993), no. 4, 417–443.
• Fabrice Bethuel, Haïm Brezis, and Frédéric Hélein. Asymptotics for the minimization of a Ginzburg-Landau functional. Calc. Var. Partial Differential Equations 1 (1993), no. 2, 123–148.

Books

• Fabrice Bethuel, Haïm Brezis, and Frédéric Hélein. Ginzburg-Landau vortices. Reprint of the 1994 edition. Modern Birkhäuser Classics. Birkhäuser/Springer, Cham, 2017. xxix+158 pp. ISBN 978-3-319-66672-3, 978-3-319-66673-0