VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Multiple constant sign and nodal solutions for nonlinear Neumann eigenvalue problems
    Motreanu, Dumitru, 1949- ; Motreanu, Viorica Venera ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear Neumann eigenvalue problem driven by a possibly nonhomogeneous differential operator which incorporates as a special case the ▫$p$▫-Laplacian. We assume that the right-hand ... side nonlinearity is ▫$( p - 1)$▫-superlinear, but need not satisfy the Ambrosetti-Rabinowitz condition or to be monotone. We show that, for all values of the parameter ▫$\lambda$▫ in an upper half line, the problem has two positive and two negative solutions. Subsequently, for the case of the ▫$p$▫-Laplacian, we also produce a nodal solution. Finally, for the semilinear case we show that the problem has two nodal solutions.
    Vir: Annali della Scuola normale superiore di Pisa. Classe di scienze. - ISSN 0391-173X (Vol. 10, iss. 3, 2011, str. 729-755)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2011
    Jezik - angleški
    COBISS.SI-ID - 17575513

    Povezava(-e):

    http://dx.doi.org/10.2422/2036-2145.2011.3.09
    http://annaliscienze.sns.it/index.php?page=Article&id=225

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