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  • Anisotropic equations with indefinite potential and competing nonlinearities
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear Dirichlet problem driven by a variable exponent ▫$p$▫-Laplacian plus an indefinite potential term. The reaction has the competing effects of a parametric concave (sublinear) ... term and a convex (superlinear) perturbation (the anisotropic concave-convex problem). We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. Also, we prove the existence of minimal positive solutions.
    Vir: Nonlinear Analysis. Theory, Methods and Applications. - ISSN 0362-546X (Vol. 201, Dec. 2020, art. 111861 (24 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18953305

    Povezava(-e):

    https://doi.org/10.1016/j.na.2020.111861
    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Nonlinear Analysis. Theory, Methods and Applications. - ISSN 0362-546X (Vol. 201, Dec. 2020, art. 111861 (24 str.))

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