
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Ground state solution of Fractional Schrödinger-Poisson-Slater equation: Double critical case
Document Type
Article
Publication Date
11-2024
Abstract
The fractional Schrödinger-Poisson-Slater equation can be derived from the Thomas-Fermi-Dirac-von Weizsäcker theory of charge screening in graphene. In this paper, we make an effort to study the behavior of bounded sequences in radial fractional Coulomb-Sobolev space under certain conditions, and then apply it to study the existence of Nehari-Pohožaev type ground state solutions for the fractional Schrödinger-Poisson-Slater equation with lower and upper critical exponents.
Recommended Citation
Su, Yu, and Zhaosheng Feng. "Ground state solution of Fractional Schrödinger-Poisson-Slater equation: Double critical case." Discrete and Continuous Dynamical Systems-S (2024): https://doi.org/10.3934/dcdss.2024206
Publication Title
Discrete and Continuous Dynamical Systems - S
DOI
https://doi.org/10.3934/dcdss.2024206
Comments
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