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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].

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)
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