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  • Anisotropic double-phase problems with indefinite potential: multiplicity of solutions
    Papageorgiou, Nikolaos, 1958- ; Qin, Dongdong ; Rǎdulescu, Vicenţiu, 1958-
    We consider an anisotropic double-phase problem plus an indefinite potential. The reaction is superlinear. Using variational tools together with truncation, perturbation and comparison techniques and ... critical groups, we prove a multiplicity theorem producing five nontrivial smooth solutions, all with sign information and ordered. In this process we also prove two results of independent interest, namely a maximum principle for anisotropic double-phase problems and a strong comparison principle for such solutions.
    Source: Analysis and mathematical physics. - ISSN 1664-2368 (Vol. 10, iss. 4, Dec. 2020, art. 63 (37 str.))
    Type of material - article, component part ; adult, serious
    Publish date - 2020
    Language - english
    COBISS.SI-ID - 35063555

    Link(s):

    https://doi.org/10.1007/s13324-020-00409-9
    DOI

source: Analysis and mathematical physics. - ISSN 1664-2368 (Vol. 10, iss. 4, Dec. 2020, art. 63 (37 str.))
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