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  • Multiple solutions with sign information for a class of coercive ▫$(p, 2)$▫-equations
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a nonlinear Dirichlet equation driven by the sum of a ▫$p$▫-Laplacian and of a Laplacian (a▫$(p, 2)$▫-equation). The hypotheses on the reaction ▫$f(z, x)$▫ are minimal and make the energy ... (Euler) functional of the problem coercive. We prove two multiplicity theorems producing three and four nontrivial smooth solutions, respectively, all with sign information. We apply our multiplicity results to the particular case of a class of parametric ▫$(p, 2)$▫-equations.
    Vir: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 43, iss. 3, May 2020, str. 2343-2371)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18688345