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Complementing maps, continuation and global bifurcation
Author(s):
P. M.
Fitzpatrick;
I.
Massabó;
J.
Pejsachowicz
Journal:
Bull. Amer. Math. Soc.
9
(1983),
79-81.
MSC (1980):
Primary 47H15, 35B32, 45G05
MathSciNet review:
699319
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References:
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- J. C. Alexander and S. S. Antman, Global and local behaviour of bifurcating multidimensional continua of solutions of multiparameter eigenvalue problems, Arch. Rational Mech. Anal. 76 (1981), 339-354. MR 628173
- 2.
- J. C. Alexander and P. M. Fitzpatrick, The homotopy of certain spaces of non-linear operators and its relation to global bifurcation of the fixed-points of parametrized condensing maps, J. Funct. Anal. 34 (1979), 87-106. MR 551112
- 3.
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- 4.
- F. E. Browder, On continuity of fixed-points under deformations of continuous mappings, Summa Brazilia Math. 4 (1960), 183-190. MR 130683
- 5.
- F. E. Browder and W. V. Petryshyn, Approximation methods and the generalized topological degree for non-linear mappings in a Banach space, J. Funct. Anal. 3 (1969), 217-245. MR 244812
- 6.
- J. Leray and J. Schauder, Topologie et équations fonctionnelles, Ann. Sci. École Norm. Sup. 51 (1934), 45-78. MR 1509338
- 7.
- I. Massabò and J. Pejsachowicz, On the connectivity properties of the solution set of parametrized families of compact vector fields, J. Funct. Anal. (to appear). MR 766486
- 8.
- L. Nirenberg, Topics in nonlinear functional analysis, Courant Inst. Lecture Notes, 1975. MR 488102
- 9.
- P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971), 487-513. MR 301587
- 10.
- W. L. Wendland, Elliptic systems in the plane, Monographs and Studies in Mathematics, no. 3, Pitman, New York, 1979. MR 518816
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15161-3
PII:
S 0273-0979(1983)15161-3
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