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Index Theory for Zero Energy Solutions of the Planar Anisotropic Kepler Problem. (arXiv:1705.05645v1 [math.DS])
来源于:arXiv
In the variational study of singular Lagrange systems, the zero energy
solutions play an important role. Here for the planar anisotropic Kepler
problem, we give a complete classification of the zero energy solutions under
some non-degenerate condition. A method is also developed to compute the Morse
index of a zero energy solution. In particular an interesting connecting
between the Morse index and the oscillating behavior of these solutions is
established. 查看全文>>