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  • Nonlocal Kirchhoff problems with singular exponential nonlinearity
    Xiang, Mingqi ; Rǎdulescu, Vicenţiu, 1958- ; Zhang, Binlin
    In this paper, we first develop the fractional Trudinger-Moser inequality in singular case and then we use it to study the existence and multiplicity of solutions for a class of perturbed fractional ... Kirchhoff type problems with singular exponential nonlinearity. Under some suitable assumptions, the existence of two nontrivial and nonnegative solutions is obtained by using the mountain pass theorem and Ekeland's variational principle as the nonlinear term satisfies critical or subcritical exponential growth conditions. Moreover, the existence of ground state solutions for the aforementioned problems without perturbation and without the Ambrosetti-Rabinowitz condition is investigated.
    Vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 84, iss. 1, Aug. 2021, str. 915-954)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 18945113

    Povezava(-e):

    https://doi.org/10.1007/s00245-020-09666-3
    DOI

vir: Applied mathematics and optimization. - ISSN 0095-4616 (Vol. 84, iss. 1, Aug. 2021, str. 915-954)

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