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  • Nonlinear noncoercive Neumann problems with a reaction concave near the origin
    Candito, Pasquale ; D'Aguì, Giuseppina ; Papageorgiou, Nikolaos, 1958-
    We consider a nonlinear Neumann problem driven by the ▫$p$▫-Laplacian with a concave parametric reaction term and an asymptotically linear perturbation. We prove a multiplicity theorem producing five ... nontrivial solutions all with sign information when the parameter is small. For the semilinear case ▫$(p=2)$▫ we produce six solutions, but we are unable to determine the sign of the sixth solution. Our approach uses critical point theory, truncation and comparison techniques, and Morse theory.
    Vir: Topological Methods in Nonlinear Analysis. - ISSN 1230-3429 (Vol. 47, no. 1, 2016, str. 289--317)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17629785

    Povezava(-e):

    http://dx.doi.org/10.12775/TMNA.2016.007
    DOI

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