VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On the ▫$p$▫-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity [Elektronski vir]
    Zhao, Min ; Song, Yueqiang ; Repovš, Dušan, 1954-
    In this article, we deal with the following ▫$p$▫-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: ▫$ ... M\left([u]_{s,A}^{p}\right)(-\Delta)_{p, A}^{s} u+V(x)|u|^{p-2} u=\lambda\left(\int_{\mathbb{R}^{N}} \frac{|u|^{p_{\mu, s}^{*}}}{|x-y|^{\mu}} \mathrm{d}y\right)|u|^{p_{\mu, s}^{*}-2} u+k|u|^{q-2}u,\ x \in \mathbb{R}^{N},$▫ where ▫$0 < s < 1 < p$▫, ▫$ps < N$▫, ▫$p < q < 2p^{*}_{s,\mu}$▫, ▫$0 \mu < N$▫, ▫$\lambda$▫ and ▫$k$▫ are some positive parameters, ▫$p^{*}_{s,\mu}=\frac{pN-p\frac{\mu}{2}}{N-ps}$▫ is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions ▫$V$▫, ▫$M$▫ satisfy the suitable conditions. By proving the compactness results with the help of the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.
    Vir: Demonstratio Mathematica [Elektronski vir]. - ISSN 2391-4661 (Vol. 57, iss. 1, [article no.] 20230124, Jan. 2024, 18 str.)
    Vrsta gradiva - e-članek ; neleposlovje za odrasle
    Leto - 2024
    Jezik - angleški
    COBISS.SI-ID - 180796163

    Povezava(-e):

    https://www.degruyter.com/document/doi/10.1515/dema-2023-0124/html
    Repozitorij Univerze v Ljubljani – RUL
    DiRROS - Digitalni repozitorij raziskovalnih organizacij Slovenije
    DOI

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