VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
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  • Double-phase problems with reaction of arbitrary growth
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth ... and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed only near the origin. Using truncation and comparison techniques and Morse theory, we show that the problem has multiple solutions in the case of high perturbations. We also show that if a symmetry condition is imposed to the reaction term, then we can generate a sequence of distinct nodal solutions with smaller and smaller energies.
    Vir: Zeitschrift für angewandte Mathematik und Physik. - ISSN 0044-2275 (Vol. 69, iss. 4, Aug. 2018, art. 108 (21 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 18409561

    Povezava(-e):

    https://doi.org/10.1007/s00033-018-1001-2
    Repozitorij Univerze v Ljubljani – RUL
    DOI

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