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  • Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational ... methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.
    Vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 81, iss. 3, June 2020, str. 823-857)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18436441

vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 81, iss. 3, June 2020, str. 823-857)
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