Mawhin, Jean Continuation theorems for nonlinear operator equations: The legacy of Leray and Schauder. (English) Zbl 1157.01307 Séminaire de Mathématique de Luxembourg. Actes du colloque sur développements des mathématiques à la veille de l’année 2000, Luxembourg, Septembre 25–26, 1998 dans le cadre de l’Année mondiale des mathématiques. Luxembourg: Centre Universitaire de Luxembourg (ISBN 2-87971-222-X/pbk). Trav. Math. 11, 49-73 (1999). This survey is dedicated to the memory of Jean Leray and illustrates influence of his fundamental joint work with J. Schauder “Topologie et équations fonctionnelles” [Ann. Sci. Éc. Norm. Supér., III. Ser. 51, 45–78 (1934; JFM 60.0322.02; Zbl 0009.07301)].For the entire collection see [Zbl 0930.00032]. Reviewer: Olaf Teschke (Berlin) Cited in 1 Document MSC: 01A60 History of mathematics in the 20th century 47-03 History of operator theory 47H11 Degree theory for nonlinear operators 47H14 Perturbations of nonlinear operators 47J05 Equations involving nonlinear operators (general) PDF BibTeX XML Cite \textit{J. Mawhin}, Trav. Math. 11, 49--73 (1999; Zbl 1157.01307)