Jean Leray and nonlinear integral equations: a partially forgotten legacy (Q2472526)

The author is one of the leading experts in nonlinear analysis, and seems to have become interested also in its history. In this interesting article he describes the outline of Jean Leray's thesis (Thèse de doctorat) of 1933, with a particular emphasis on applications to Hammerstein integral equations, ellipitc boundary value problems, and bifurcation theory. The last part of the paper illustrates the enormous impact of the Leray-Schauder fixed point theorem, published one year later, and the historical development leading to that theorem.