Degenerate critical points, homotopy indices and Morse inequalities. II.
E.N. Dancer (1987)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “Discrete homotopy theory and critical values of metric spaces”
Degenerate critical points, homotopy indices and Morse inequalities. II.
Degenerate critical points, homotopy indices and Morse inequalities.
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Journal für die reine und angewandte Mathematik
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We present a generalization of the classical Conley index defined for flows on locally compact spaces to flows on an infinite-dimensional real Hilbert space H generated by vector fields of the form f: H → H, f(x) = Lx + K(x), where L: H → H is a bounded linear operator satisfying some technical assumptions and K is a completely continuous perturbation. Simple examples are presented to show how this new invariant can be applied in searching critical points of strongly indefinite functionals...
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