On the singularities of nonlinear Fredholm operators

Berger, M. S.; Plastock, R. A.

doi:10.1090/S0002-9904-1977-14431-5

Authors: M. S. Berger and R. A. Plastock
Journal: Bull. Amer. Math. Soc. 83 (1977), 1316-1318
MSC (1970): Primary 47H15, 35J60
DOI: https://doi.org/10.1090/S0002-9904-1977-14431-5
MathSciNet review: 0451279
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1. S. Banach and S. Mazur, Über mehrdeutige Abbildungen, Studia Math. 5 (1934), 174-178.

Clifford J. Earle and James Eells Jr., Foliations and fibrations, J. Differential Geometry 1 (1967), no. 1, 33–41. MR 215320
P. T. Church and J. G. Timourian, Fiber bundles with singularities, J. Math. Mech. 18 (1968/1969), 71–90. MR 0235572, DOI https://doi.org/10.1512/iumj.1969.18.18008
Melvin S. Berger, Nonlinearity and functional analysis, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. Lectures on nonlinear problems in mathematical analysis; Pure and Applied Mathematics. MR 0488101
C. Foiaş and R. Temam, Structure of the set of stationary solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 30 (1977), no. 2, 149–164. MR 435626, DOI https://doi.org/10.1002/cpa.3160300202
Melvyn S. Berger, New applications of the calculus of variations in the large to nonlinear elasticity, Comm. Math. Phys. 35 (1974), 141–150. MR 394751
S. Smale, An infinite dimensional version of Sard’s theorem, Amer. J. Math. 87 (1965), 861–866. MR 185604, DOI https://doi.org/10.2307/2373250
R. A. Plastock, Nonlinear Fredholm maps of index zero and their singularities, Proc. Amer. Math. Soc. 68 (1978), no. 3, 317–322. MR 464283, DOI https://doi.org/10.1090/S0002-9939-1978-0464283-2