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  • Anisotropic singular Neumann equations with unbalanced growth
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear parametric Neumann problem driven by the anisotropic ▫$(p, q)$▫-Laplacian and a reaction which exhibits the combined effects of a singular term and of a parametric superlinear ... perturbation. We are looking for positive solutions. Using a combination of topological and variational tools together with suitable truncation and comparison techniques, we prove a bifurcation-type result describing the set of positive solutions as the positive parameter ▫$\lambda$▫ varies. We also show the existence of minimal positive solutions ▫$u_{\lambda }^{\ast}$▫ and determine the monotonicity and continuity properties of the map ▫$\lambda \mapsto u_{\lambda }^{\ast}$▫.
    Vir: Potential analysis. - ISSN 0926-2601 (Vol. 57, iss. 1, June 2022, str. 55-82)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2022
    Jezik - angleški
    COBISS.SI-ID - 57450755

vir: Potential analysis. - ISSN 0926-2601 (Vol. 57, iss. 1, June 2022, str. 55-82)
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