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Existence Results for Nonlinear Schrödinger Equations With Electromagnetic Fields

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Abstract.

 We consider the nonlinear Schrödinger equation where W(x) = V(x) − E.

We establish the existence of the least energy solutions. We also formulate conditions guaranteeing the existence of multiple solutions in terms of the Lusternik–Schnirelemann category.

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Authors and Affiliations

  1. The University of Queensland, St. Lucia, Australia, Australia

    J. Chabrowski

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  1. J. Chabrowski
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Received March 30, 2001; in revised form May 29, 2002

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Chabrowski, J. Existence Results for Nonlinear Schrödinger Equations With Electromagnetic Fields. Monatsh Math 137, 261–272 (2002). https://doi.org/10.1007/s00605-002-0513-0

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  • DOI: https://doi.org/10.1007/s00605-002-0513-0

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