Work

Ground state solution of Fractional Schrödinger-Poisson-Slater equation: Double critical case

Year: 2024

Type: article

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.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024206

Authors: Yu Su, Zhaosheng Feng

Institution: Anhui University of Science and Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404612763

FWCI: 0.763

Cites: 9

Cited by: 1

Related to: 10