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  • Nonlinear Dirichlet problems with unilateral growth on the reaction
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear Dirichlet problem driven by the ▫$p$▫-Laplace differential operator with a reaction which has a subcritical growth restriction only from above. We prove two multiplicity ... theorems producing three nontrivial solutions, two of constant sign and the third nodal. The two multiplicity theorems differ on the geometry near the origin. In the semilinear case (that is, ▫$p=2$▫), using Morse theory (critical groups), we produce a second nodal solution for a total of four nontrivial solutions. As an illustration, we show that our results incorporate and significantly extend the multiplicity results existing for a class of parametric, coercive Dirichlet problems
    Vir: Forum mathematicum. - ISSN 0933-7741 (Vol. 31, iss. 2, 2019, str. 319-340)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18471257

    Povezava(-e):

    https://doi.org/10.1515/forum-2018-0114
    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Forum mathematicum. - ISSN 0933-7741 (Vol. 31, iss. 2, 2019, str. 319-340)
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