A bifurcation theorem for critical points of variational problems
Tài liệu tham khảo
Bates, 1985, The center manifold theorem with applications
Berger, 1972, Bifurcation theory and the type number of Marston Morse, Proc. Natn. Acad. Sci., 69, 1737, 10.1073/pnas.69.7.1737
Böhme, 1972, Die Lösung der Verzweigungsgleichung für nichtlineare Eigenwertprobleme, Math. Z., 127, 105, 10.1007/BF01112603
Carr, 1981
Chow, 1983, Methods in Bifurcation Theory, 250
Clark, 1975, Eigenvalue perturbation for odd, gradient operators, Rocky Mt. J. Math., 5, 317, 10.1216/RMJ-1975-5-3-317
Conley, 1976, Isolated invariant sets and the Morse index, 38
Fadell, 1977, Bifurcation for odd potential operators and an alternative index, J. funct. Analysis, 26, 48, 10.1016/0022-1236(77)90015-5
Henry, 1982, Geometric theory of semilinear parabolic equations, 840
Kato, 1980, Perturbation theory for linear operators, 132
Marino, 1973, La biforcazione nel caso variationale, Conf. Sem. Mat.
Marsden, 1983
Palmer, 1980, Qualitative behaviour of a system of ODE near an equilibrium point—a generalization of the Hartman–Grobman theorem
Rabinowitz, 1974
Rabinowitz, 1977, A bifurcation theorem for potential operators, J. funct. Analysis, 25, 412, 10.1016/0022-1236(77)90047-7
Takens, 1972, Some remarks on the Böhme–Berger bifurcation theorem, Math. Z., 129, 359, 10.1007/BF01181624
Vanderbauwhede, 1985, Center manifolds and contractions on a scale of Banach spaces
Kielhöfer, 1985, A bifurcation theorem for potential operators
Abraham, 1983
