VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Nodal and multiple solutions for nonlinear elliptic equations involving a reaction with zeros
    Gasiński, Leszek ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a Carathéodory reaction. Imposing control on the growth of the reaction only near zero and assuming ... that it has two constant sign ▫$z$▫-dependent zeros, we prove two multiplicity theorem producing three nontrivial smooth solutions, one positive, the second negative and the third nodal. Then for the particular case of ▫$(p,2)$▫-equations and assuming that the reaction is ▫$(p-1)$▫-superlinear near ▫$\pm \infty$▫, without satisfying the Ambrosetti-Rabinowitz condition, we show that the problem has at least six nontrivial smooth solutions.
    Vir: Dynamics of partial differential equations. - ISSN 1548-159X (Vol. 12, no. 1, 2015, str. 13-42)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 18195545

    Povezava(-e):

    http://doi.org/10.4310/DPDE.2015.v12.n1.a2
    DOI

Vnos na polico