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  • Asymmetric Robin problems with indefinite potential and concave terms
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a parametric semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. In the reaction, we have the competing effects of a concave term appearing with a ... negative sign and of an asymmetric asymptotically linear term which is resonant in the negative direction. Using variational methods together with truncation and perturbation techniques and Morse theory (critical groups), we prove two multiplicity theorems producing four and five, respectively, nontrivial smooth solutions when the parameter ▫$\lambda > 0$▫ is small.
    Vir: Advanced nonlinear studies. - ISSN 1536-1365 (Vol. 19, iss. 1, Feb. 2019, str. 69-87)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2019
    Jezik - angleški
    COBISS.SI-ID - 18385753

vir: Advanced nonlinear studies. - ISSN 1536-1365 (Vol. 19, iss. 1, Feb. 2019, str. 69-87)
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