Publication detail

Groundstates of the Schrodinger-Poisson-Slater equation with critical growth

LEI, C. RADULESCU, V. ZHANG, B.

Original Title

Groundstates of the Schrodinger-Poisson-Slater equation with critical growth

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we study the existence of ground state solutions for the following Schrodinger Poisson-Slater equation. By combining the Nehari-Pohozaev method with compactness arguments, we first obtain a positive ground state solution for above equation. Then we establish several qualitative properties of the ground state solutions.

Keywords

Schrodinger-Poisson-Slater equation;Ground state solution;Coulomb-Sobolev inequality;Critical exponents

Authors

LEI, C.; RADULESCU, V.; ZHANG, B.

Released

14. 9. 2023

ISBN

1579-1505

Periodical

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas

Year of study

117(3)

Number

128

State

Republic of Italy

Pages from

1

Pages to

32

Pages count

32

URL

https://link.springer.com/article/10.1007/s13398-023-01457-z

BibTex

@article{BUT184001,
  author="Chunyu {Lei} and Vicentiu {Radulescu} and Binlin {Zhang}",
  title="Groundstates of the Schrodinger-Poisson-Slater equation with critical growth",
  journal="Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas",
  year="2023",
  volume="117(3)",
  number="128",
  pages="1--32",
  doi="10.1007/s13398-023-01457-z",
  issn="1579-1505",
  url="https://link.springer.com/article/10.1007/s13398-023-01457-z"
}