ALL libraries (COBIB.SI union bibliographic/catalogue database)
PDF
  • Robin double-phase problems with singular and superlinear terms
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear Robin problem driven by the sum of ▫$p$▫-Laplacian and ▫$q$▫-Laplacian (i.e. the ▫$p, q)$▫-equation). In the reaction there are competing effects of a singular term and a ... parametric perturbation ▫$\lambda f(z,x)$▫, which is Carathéodory and ▫$(p-1)$▫-superlinear at ▫$x \in \mathbb{R}$▫ without satisfying the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.
    Source: Nonlinear analysis: real world applications. - ISSN 1468-1218 (Vol. 58, Apr. 2021, art. 103217 (20 str.))
    Type of material - article, component part ; adult, serious
    Publish date - 2021
    Language - english
    COBISS.SI-ID - 30724867