VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Nonlinear nonhomogeneous Robin problems with superlinear reaction term
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958-
    We consider a nonlinear Robin problem driven by a nonlinear, nonhomogeneous differential operator, and with a Carathéodory reaction term which is ▫$(p-1)$▫-superlinear near ▫$\pm\infty$▫ without ... satisfying the Ambrosetti-Rabinowitz condition and which does not have a standard subcritical polynomial growth. Using a combination of variational methods and Morse theoretic techniques, we prove a multiplicity theorem producing three nontrivial solutions (two of which have constant sign). In the process we establish some useful facts about the boundedness of the weak solutions of critical equations and the relation of Sobolev and Hölder local minimizers for functionals with a critical perturbation term.
    Vir: Advanced nonlinear studies. - ISSN 1536-1365 (Vol. 16, no. 4, 2016, str. 737-764)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17819481

    Povezava(-e):

    http://dx.doi.org/10.1515/ans-2016-0023

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vir: Advanced nonlinear studies. - ISSN 1536-1365 (Vol. 16, no. 4, 2016, str. 737-764)
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