Abstract
In this paper, we study the existence of semiclassical solutions of the fractional Schrödinger–Poisson system with critical exponent in $\mathbb{R}^{3}$. Under suitable assumptions, we show that the problem has at least one nontrivial solution provided that $\epsilon \leq \varepsilon_{\delta}$ where $\varepsilon_{\delta}$ is sufficiently small positive number.
Funding Statement
The work was supported by the National Natural Science
Foundation of China, No. 11601139, Hubei Provincial Natural Science Foundation of China,
No. 2019CFB522 and Scientific Research and Innovation Team of Hubei Normal University,
No. 2019CZ010.
Citation
Lvzhou Zheng. "Solutions of Perturbed Fractional Schrödinger–Poisson System with Critical Nonlinearity in $\mathbb{R}^{3}$." Taiwanese J. Math. 25 (4) 775 - 791, August, 2021. https://doi.org/10.11650/tjm/201204
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