20.500.12556/RUL-182452 On degenerate fractional Schrödinger-Kirchhoff-Poisson equations with upper critical nonlinearity and electromagnetic fields This 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. fractional Schrödinger-Kirchhoff-Poisson equations degenerate cases concentration compactness principle upper critical nonlinearity variational methods true false true Angleški jezik Angleški jezik Članek v reviji 2026-05-12 11:19:16 2026-05-12 11:19:21 2026-05-13 04:51:35 0000-00-00 00:00:00 2023 0 0 Str. 1219-1238 no. 7 Vol. 68 2023 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 2023-01-01 517.956 1747-6933 10.1080/17476933.2022.2040022 99789827 COBISS-ID_99789827.pdf COBISS-ID_99789827.pdf 1 E16D30C4DCFC7DB708D69E44321A3338 1aa6cb641d6ddaea08078370159320d9a8becb7d78377464446dda00ba27b88c 08f3eb6a-4de4-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233726 https://www.tandfonline.com/doi/full/10.1080/17476933.2022.2040022 1 5dc79637-4de3-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233724 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0