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  • Nonlinear nonhomogeneous boundary value problems with competition phenomena
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear boundary value problem driven by a nonhomogeneous differential operator. The problem exhibits competing nonlinearities with a superlinear (convex) contribution coming from the ... reaction term and a sublinear (concave) contribution coming from the parametric boundary (source) term. We show that for all small parameter values ▫$\lambda > 0$▫, the problem has at least five nontrivial smooth solutions, four of constant sign and one nodal. We also produce extremal constant sign solutions and determine their monotonicity and continuity properties as the parameter ▫$\lambda > 0$▫ varies. In the semilinear case we produce a sixth nontrivial solution but without any sign information. Our approach uses variational methods together with truncation and perturbation techniques, and Morse theory.
    Vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 80, iss. 1, Aug. 2019, str. 251-298)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18194265

    Povezava(-e):

    http://doi.org/10.1007/s00245-017-9465-6
    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 80, iss. 1, Aug. 2019, str. 251-298)
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