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.

Comments

© 2024 American Institute of Mathematical Sciences

Publication Title

Discrete and Continuous Dynamical Systems - S

DOI

https://doi.org/10.3934/dcdss.2024206

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