VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
PDF
  • Robin problems with indefinite linear part and competition phenomena
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite potential. The reaction term involves competing nonlinearities. More precisely, it is the sum of a ... parametric sublinear (concave) term and a superlinear (convex) term. The superlinearity is not expressed via the Ambrosetti-Rabinowitz condition. Instead, a more general hypothesis is used. We prove a bifurcation-type theorem describing the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies. We also show the existence of a minimal positive solution ▫$\tilde{u}_\lambda$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto \tilde{u}_\lambda$▫.
    Vir: Communications on pure and applied analysis. - ISSN 1534-0392 (Vol. 16, no. 4, 2017, str. 1293-1314)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 18010713

    Povezava(-e):

    http://aimsciences.org/journals/doIpChk.jsp?paperID=13917&mode=full
    http://doi.org/10.3934/cpaa.2017063
    Repozitorij Univerze v Ljubljani – RUL
    DOI

Vnos na polico