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Referencias:

• Ambrosetti, A., Branching points for a class of variational operators (1998) J. Anal. Math., 76, pp. 321-335
• Arcoya, D., Orsina, L., Landesman-lazer conditions and quasilinear elliptic equations (1997) Nonlinear Anal.: Theory Methods Appl., 28 (10), pp. 1623-1632
• Atiyah, M.F., Patodi, V.K., Singer, I.M., Spectral asymmetry and Riemannian geometry, III (1976) Proc. Camb. Philos. Soc., 79, pp. 71-99
• Arnold, V.I., (1989) Mathematical Methods of Classical Mechanics, , 2, Springer, New York
• Benevieri, P., Calamai, A., Furi, M., A degree theory for a class of perturbed Fredholm maps (2005) Fixed Point Theory Appl., 2, pp. 185-206
• Benevieri, P., Furi, M., A simple notion of orientability for Fredholm maps of index zero between Banach manifolds and degree (1998) Ann. Sci. Math. Québec, 22, pp. 131-148
• Benevieri, P., Furi, M., A degree theory for locally compact perturbations of Fredholm maps in Banach spaces (2006) Abstr. Appl. Anal
• Böhme, R., Die Lösung der Verweigungsgleichungen für nichtlineare Eigenwertprobleme (1972) Math. Z., 127, pp. 105-126
• Chang, K.C., (2005) Methods in Nonlinear Analysis, , Springer, Berlin
• Eliashberg, Y., Mishachev, N., Introduction to the h -Principle (2002) Graduate Studies in Mathematics, 48. , AMS, Providence
• Elworthy, K.D., Tromba, A.J., Differential structures and Fredholm maps on Banach manifolds (1970) Global Analysis Proceedings of Symposium in Pure Mathematics, 15, pp. 45-94. , Chern, S.S., Smale, S., eds
• Elworthy, K.D., Tromba, A.J., Degree theory on banach manifolds (1970) Nonlinear Functional Analysis. Proceedings of Symposium in Pure Mathematics, 18, pp. 86-94. , Browder, F.E., Part 1
• Fitzpatrick, P.M., Pejsachowicz, J., A local bifurcation theorem for C1 Fredholm maps (1990) Proc. Am. Math. Soc., 109, pp. 995-1002
• Fitzpatrick, P.M., Pejsachowicz, J., Rabier, P.J., The degree of proper C2 Fredholm mappings (1992) J. Reine Angew., 427, pp. 1-33
• Fitzpatrick, P.M., Pejsachowicz, J., Rabier, P.J., Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings (1994) J. Funct. Anal., 124, pp. 1-39
• Fitzpatrick, P.M., Pejsachowicz, J., Recht, L., Spectral flow and bifurcation of critical points of strongly indefinite functionals (1999) I. Gen. Theory J. Funct. Anal., 162, pp. 52-95
• Fitzpatrick, P.M., Pejsachowicz, J., Recht, L., Spectral flow and bifurcation of critical points of strongly indefinite functionals. II. Bifurcation of periodic orbits of Hamiltonian systems (2000) J. Differ. Equ., 163, pp. 18-40
• Hatcher, A., (2002) Algebraic Topology, , Cambridge University Press, Cambridge
• Krasnoselskij, M.A., (1964) Topological Methods in the Theory of Nonlinear Integral Equations, , Pergamon Press, Oxford
• Krasnoselskij, M.A., Zabrelko, P.P., (1984) Geometrical Methods of Nonlinear Analysis, , Springer, Berlin
• Mawhin, J., Topological degree methods in nonlinear boundary value problems (1979) CBMS Regional Conference Series in Mathematics, 40. , American Mathematical Society, Providence
• Mawhin, J., Willem, M., (1989) Critical Points Theory and Hamiltonian Systems, , Springer, Boston
• Pejsachowicz, J., Waterstraat, N., Bifurcation of critical points for continuous families of C2 functionals of Fredholm type (2013) J. Fixed Point Theory Appl., 13, pp. 537-560
• Rabier, P.J., Salter, M.F., A degree theory for compact perturbations of proper C1 Fredholm mappings of index 0 (2005) Abstr. Appl. Anal., 2005 (7), pp. 707-731
• Rabinowitz, P.H., Some global results for nonlinear eigenvalue problems (1971) Journal of Functional Analysis, 7 (3), pp. 487-513
• Smoller, J., Wasserman, A.G., Bifurcation and symmetry breaking (1990) Invent. Math., 100, pp. 63-95
• Tabachnikov, S., A cone eversion (1995) Am. Math. Mon., 102, pp. 52-56
• Takens, F., Some remarks on the Böhme–Berger bifurcation theorem (1972) Math. Z., 125, pp. 359-364
• Warner, F.W., (1983) Foundations of Differentiable Manifolds and Lie Groups, GTM 94, , Springer, Berlin
• Zvyagin, V.G., Ratiner, N.M., Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions (1992) Lecture Notes in Mathematics, pp. 111-137. , Springer Berlin Heidelberg, Berlin, Heidelberg

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