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].File in questo prodotto:
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