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  • Nodal solutions for ▫$(p,2)$▫-equations
    Aizicovici, Sergiu, 1948- ; Papageorgiou, Nikolaos, 1958- ; Staicu, Vasile, 1960-
    In this paper, we study a nonlinear elliptic equation driven by the sum of a ▫$p$▫-Laplacian and a Laplacian (▫$\left( p,2 \right)$▫-equation), with a Carathéodory ▫$\left( p-1 \right)$▫-(sub-)linear ... reaction. Using variational methods combined with Morse theory, we prove two multiplicity theorems providing precise sign information for all the solutions (constant sign and nodal solutions). In the process, we prove two auxiliary results of independent interest.
    Source: Transactions of the American Mathematical Society. - ISSN 0002-9947 (Vol. 367, no. 10, 2015, str. 7343-7372)
    Type of material - article, component part ; adult, serious
    Publish date - 2015
    Language - english
    COBISS.SI-ID - 18185817

    Link(s):

    http://dx.doi.org/10.1090/S0002-9947-2014-06324-1
    DOI

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