ALL libraries (COBIB.SI union bibliographic/catalogue database)
  • Nonlinear concave-convex problems with indefinite weight
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a parametric nonlinear Robin problem driven by the ▫$p$▫-Laplacian and with a reaction having the competing effects of two terms. One is a parametric ▫$(p-1)$▫-sublinear term (concave ... nonlinearity) and the other is a ▫$(p-1)$▫-superlinear term (convex nonlinearity). We assume that the weight of the concave term is indefinite (that is, sign-changing). Using the Nehari method, we show that for all small values of the parameter ▫$\lambda > 0$▫, the problem has at least two positive solutions and also we provide information about their regularity.
    Source: Complex variables and elliptic equations. - ISSN 1747-6933 (Vol. 68, iss. 2, 2023, str. 291-305)
    Type of material - article, component part ; adult, serious
    Publish date - 2023
    Language - english
    COBISS.SI-ID - 82628355

    Link(s):

    https://www.tandfonline.com/doi/full/10.1080/17476933.2021.1988584
    DOI

Shelf entry