On the singularities of nonlinear Fredholm operators

On the singularities of nonlinear Fredholm operators
HTML articles powered by AMS MathViewer

by M. S. Berger and R. A. Plastock PDF

Bull. Amer. Math. Soc. 83 (1977), 1316-1318

References

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 10.1512/iumj.1969.18.18008
Melvin S. Berger, Nonlinearity and functional analysis, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. Lectures on nonlinear problems in mathematical analysis. 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 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, DOI 10.1007/BF01646612
S. Smale, An infinite dimensional version of Sard’s theorem, Amer. J. Math. 87 (1965), 861–866. MR 185604, DOI 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 10.1090/S0002-9939-1978-0464283-2