VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Multiple nodal solutions for semilinear Robin problems with indefinite linear part and concave terms
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a semilinear Robin problem driven by Laplacian plus an indefinite and unbounded potential. The reaction function contains a concave term and a perturbation of arbitrary growth. Using a ... variant of the symmetric mountain pass theorem, we show the existence of smooth nodal solutions which converge to zero in ▫$C^1(\overline{\Omega})$▫. If the coefficient of the concave term is sign changing, then again we produce a sequence of smooth solutions converging to zero in ▫$C^1(\overline{\Omega})$▫, but we cannot claim that they are nodal.
    Vir: Topological Methods in Nonlinear Analysis. - ISSN 1230-3429 (Vol. 50, no. 1, Sep. 2017, str. 269-286)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 18103897

    Povezava(-e):

    http://dx.doi.org/10.12775/TMNA.2017.029
    DOI

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