On degenerate fractional Schrödinger-Kirchhoff-Poisson equations with upper critical nonlinearity and electromagnetic fieldsZhang, Zhongyi (Avtor) Repovš, Dušan (Avtor) fractional Schrödinger-Kirchhoff-Poisson equationsdegenerate casesconcentration compactness principleupper critical nonlinearityvariational methodsThis paper intends to study the following degenerate fractional Schrödinger-Kirchhoff-Poisson equations with critical nonlinearity and electromagnetic fields in $\mathbb{R}^3$: $\begin{cases} \varepsilon^{2s}M([u]^2_{s,A})(-\Delta)^s_Au+V(x)u+\phi u \\ \quad =k(x)|u|^{r-2}u + \left(\mathcal{I}_\mu \ast |u|^{2^\sharp_s}\right)|u|^{2^\sharp_s - 2}u, & x \in \mathbb{R}^3, \\ (-\Delta)^t \phi = u^2, & x \in \mathbb{R}^3, \end{cases}$ where $\varepsilon > 0$ is a positive parameter, $3/4 < s < 1$, $0 < t < 1$, $V$ is an electric potential satisfying suitable assumptions, and $0 < k_\ast \le k(x) \le k^\ast$, $\mathcal{I}_\mu (x)=|x|^{3-\mu}$ with $0 < \mu < 3$, $2^\sharp_s = \frac{3+\mu}{3-2s}$ and $2 < r < 2^\sharp_s$. With the help of the concentration compactness principle and variational method, and together with some careful analytical skills, we prove the existence and multiplicity of solutions for the above problem as $\varepsilon \to 0$ in degenerate cases, that is the Kirchhoff term $M$ can vanish at zero.20232026-05-12 11:19:16Članek v reviji182452UDK: 517.956ISSN pri članku: 1747-6933DOI: 10.1080/17476933.2022.2040022COBISS_ID: 99789827sl