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  • Constant sign and nodal solutions for superlinear ▫$(p, q)$▫-equations with indefinite potential and a concave boundary term
    Papageorgiou, Nikolaos, 1958- ; Zhang, Youpei
    We consider a nonlinear elliptic equation driven by the ▫$(p, q)$▫-Laplacian plus an indefinite potential. The reaction is ▫$(p - 1)$▫-superlinear and the boundary term is parametric and concave. ... Using variational tools from the critical point theory together with truncation, perturbation and comparison techniques and critical groups, we show that for all small values of the parameter, the problem has at least five nontrivial smooth solutions, all with sign information and which are linearly ordered.
    Vir: Advances in nonlinear analysis. - ISSN 2191-9496 (Vol. 10, iss. 1, 2021, str. 76-101)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 18989571