We prove existence results for complex-valued solutions for a semilinear Schrodinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory, developed in [1, 2, 5].

Single-peaks for a magnetic Schrödinger equation with critical growth / Barile, S.; Cingolani, Silvia; Secchi, S.. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 11:10(2006), pp. 1135-1166.

Single-peaks for a magnetic Schrödinger equation with critical growth

CINGOLANI, Silvia;
2006-01-01

Abstract

We prove existence results for complex-valued solutions for a semilinear Schrodinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in critical point theory, developed in [1, 2, 5].
2006
Single-peaks for a magnetic Schrödinger equation with critical growth / Barile, S.; Cingolani, Silvia; Secchi, S.. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 11:10(2006), pp. 1135-1166.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/9258
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