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First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems

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References

  1. Adams, R.A.: Sobolev spaces. Orlando: Academic Press 1975

    Google Scholar 

  2. Benci, V., Giannoni, F.: Homoclinic orbits on compact manifolds. to appear

  3. Coti Zelati, V., Ekeland, I.: A variational approach to homoclinic orbits in Hamiltonian systems. to appear

  4. Floer, A.: The unregularized gradient flow of the symplectic action. Commun. Pure Appl. Math.41, 775–813 (1988)

    Google Scholar 

  5. Floer, A.: Morse Theory for Lagrangian intersections. J. Differ. Geom.28, 513–547 (1988)

    Google Scholar 

  6. Floer, A., Hofer, H., Viterbo, C.: The Weinstein conjecture inP XC l. Math. Z.203, 469–482 (1990)

    Google Scholar 

  7. Grisvard, P.: Elliptic problems in nonsmooth domains. Monographs and Studies in Mathematics 24. Montreal: Pitman Adv. Publishing Program 1985

    Google Scholar 

  8. Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds. Invent. Math.82, 307–347 (1985)

    Google Scholar 

  9. Rabinowitz, P.: Periodic and heteroclinic orbits for a periodic Hamiltonian system. to appear

  10. Triebel, H.: Interpolation Theory function spaces, differential operators. Amsterdam: North Holland 1978

    Google Scholar 

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Authors and Affiliations

  1. Institut für Mathematik, Ruhr Universität Bochum, W-4630, Bochum, Germany

    H. Hofer

  2. School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, GA, USA

    K. Wysocki

Authors
  1. H. Hofer
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  2. K. Wysocki
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Supported by the Alfred P. Sloan Foundation and NSF Grant DMS 88-03496

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Hofer, H., Wysocki, K. First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems. Math. Ann. 288, 483–503 (1990). https://doi.org/10.1007/BF01444543

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  • DOI: https://doi.org/10.1007/BF01444543

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