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  • Nonlinear eigenvalue problems for the ▫$(p, q)$▫-Laplacian
    Papageorgiou, Nikolaos, 1958- ; Qin, Dongdong ; Rǎdulescu, Vicenţiu, 1958-
    We consider a parametric ▫$(p, q)$▫-equations with sign-changing reaction and Robin boundary condition. We show that for all values of the parameter ▫$\lambda$▫ bigger than a certain value which we ... determine precisely, the problem has at least three nontrivial solutions all with sign information and ordered. For the particular case of ▫$(p,2)$▫-equations we produce a second nodal solution, for a total of four nontrivial solutions. Under symmetry conditions, we show the existence of infinitely many nodal solutions. The same results are also valid for the Dirichlet problem.
    Vir: Bulletin des sciences mathématiques. - ISSN 0007-4497 (Vol. 172, Nov. 2021, art. 103039 (29 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 72508163

vir: Bulletin des sciences mathématiques. - ISSN 0007-4497 (Vol. 172, Nov. 2021, art. 103039 (29 str.))
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