On the singularities of nonlinear Fredholm operators
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
Full-text PDF Free Access
References | Similar Articles | Additional Information
-
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
Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 47H15, 35J60
Retrieve articles in all journals with MSC (1970): 47H15, 35J60