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  • Solutions with sign information for nonlinear Robin problems with no growth restriction on reaction
    Papageorgiou, Nikolaos, 1958- ; Vetro, Calogero ; Vetro, Francesca
    We consider a parametric nonlinear Robin problem driven by a nonhomogeneous differential operator. The reaction is a Carathéodory function which is only locally defined (that is, the hypotheses ... concern only its behaviour near zero). The conditions on the reaction are minimal. Using variational tools together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter ▫$\lambda > 0$▫, the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal.
    Vir: Applicable analysis. - ISSN 0003-6811 (Vol. 100, iss. 1, 2021, str. 191-205)
    Vrsta gradiva - članek, sestavni del
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 18608217

vir: Applicable analysis. - ISSN 0003-6811 (Vol. 100, iss. 1, 2021, str. 191-205)
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