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  • Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the ... Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the left). We prove the existence of three nontrivial smooth solutions, two of constant sign and the third nodal. We also show the existence of extremal constant sign solutions. The tools come from nonsmooth critical point theory and from global optimization (direct method).
    Vir: Journal of optimization theory and applications. - ISSN 0022-3239 (Vol. 175, iss. 2, Nov. 2017, str. 293-323)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 18130265

    Povezava(-e):

    http://doi.org/10.1007/s10957-017-1173-5
    RUL
    DOI

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