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On a Hartree type equation: Existence of regular solutions

Part of the Lecture Notes in Mathematics book series (LNM,volume 799)

Keywords

  • Weak Solution
  • Solitary Wave
  • Helium Atom
  • Unique Positive Solution
  • Lebesgue Dominate Convergence Theorem

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References

  1. BADER, P., Variational method for the Hartree equation of the helium atom, Proc. Royal Soc. Edinburgh, 82 A, (1978), 27–39.

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  5. LIEB, E., Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Studies Appl. Math., 57, (1977), 93–105.

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  7. REEKEN, M., General theorem on bifurcation and its application to the Hartree equation of the Helium atom, J. Math. Phys. 11, 8, (1970), 2505–2512.

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  8. STRAUSS, W.A., Existence of solitary waves in higher dimensions, Comm Math. Phys., 55(1977), 149–162.

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© 1980 Springer-Verlag

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Menzala, G.P. (1980). On a Hartree type equation: Existence of regular solutions. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089319

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  • DOI: https://doi.org/10.1007/BFb0089319

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09986-4

  • Online ISBN: 978-3-540-39251-4

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