Abstract
We consider nonlinear magnetic Schrödinger equations under assumptions that imply the Palais–Smale condition for the corresponding functional and prove some results on the existence and multiplicity of solutions vanishing at infinity.
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Pankov, A.A. On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field. Functional Analysis and Its Applications 37, 75–77 (2003). https://doi.org/10.1023/A:1022984313164
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DOI: https://doi.org/10.1023/A:1022984313164