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  • Small perturbations for nonlinear Schrödinger equations with magnetic potential
    Zhang, Youpei ; Tang, Xianhua ; Rǎdulescu, Vicenţiu, 1958-
    We are concerned with the qualitative analysis of solutions for three classes of nonlinear problems driven by the magnetic Laplace operator. We are mainly interested in the perturbation effects ... created by two reaction terms with different structure. Two equations are studied on bounded domains (under Dirichlet boundary condition) while the third problem is on the entire Euclidean space. Our main results establish that if a certain perturbation is sufficiently small (in a prescribed sense) then the problems have at least two distinct solutions in a related magnetic Sobolev space. The proofs combine variational, topological and analytic methods.
    Vir: Milan journal of mathematics. - ISSN 1424-9286 (Vol. 88, iss. 2, Dec. 2020, str. 479-506)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 35062275

vir: Milan journal of mathematics. - ISSN 1424-9286 (Vol. 88, iss. 2, Dec. 2020, str. 479-506)
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