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2021 Solutions of Perturbed Fractional Schrödinger--Poisson System with Critical Nonlinearity in $\mathbb{R}^{3}$
Lvzhou Zheng
Taiwanese J. Math. Advance Publication 1-17 (2021). DOI: 10.11650/tjm/201204

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.

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Lvzhou Zheng. "Solutions of Perturbed Fractional Schrödinger--Poisson System with Critical Nonlinearity in $\mathbb{R}^{3}$." Taiwanese J. Math. Advance Publication 1 - 17, 2021. https://doi.org/10.11650/tjm/201204

Information

Published: 2021
First available in Project Euclid: 15 December 2020

Digital Object Identifier: 10.11650/tjm/201204

Subjects:
Primary: 35B99, 35J10, 35J60

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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