On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field |
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| Authors: | A. A. Pankov |
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| Affiliation: | (1) Vinnitsa State Pedagogical University, Russia |
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| 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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| Keywords: | nonlinear Schrö dinger equation, Palais– Smale condition, multiplicity |
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