Geodesic
On Nontrivial Solutions of a Nonlinear Schr\"odinger Equation with Magnetic Field
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 88-91

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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.
Keywords: nonlinear Schrödinger equation, multiplicity.
Mots-clés : Palais–Smale condition 
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     title = {On {Nontrivial} {Solutions} of a {Nonlinear} {Schr\"odinger} {Equation} with {Magnetic} {Field}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a9/}
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A. A. Pankov. On Nontrivial Solutions of a Nonlinear Schr\"odinger Equation with Magnetic Field. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 88-91. http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a9/