Jean Leray and nonlinear integral equations: A partially forgotten legacy

Mawhin, Jean
(2007) Journal of Fixed Point Theory and Applications — Vol. 1, n° 2, p. 159-187 (2007)

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  • Mawhin, JeanUCLouvain
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Abstract
Some applications given in Jean Leray's thesis of 1933 seem to have been forgotten, before being rediscovered and then widely developed. The reason may be found in the fact that the Arzela-Schmidt's method introduced in the thesis was superseded one year later by the more general and fruitful Leray-Schauder's method. We also show that, despite its fame and a steadily increasing number of applications, some aspects of Leray-Schauder's paper were somewhat forgotten too.
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Mawhin, J. (2007). Jean Leray and nonlinear integral equations: A partially forgotten legacy. Journal of Fixed Point Theory and Applications, 1(2), 159-187. https://doi.org/10.1007/s11784-007-0018-5 (Original work published 2007)