On the existence of ground states of an equation of Schrödinger–Poisson–Slater type
- Resource Type
- article
- Authors
- Lei, Chunyu; Lei, Yutian
- Source
- Comptes Rendus. Mathématique, Vol 359, Iss 2, Pp 219-227 (2021)
- Subject
- Schrödinger–Poisson–Slater type equation
ground state
Coulomb–Sobolev inequality
Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
We study the existence of ground states of a Schrödinger–Poisson–Slater type equation with pure power nonlinearity. By carrying out the constrained minimization on a special manifold, which is a combination of the Pohozaev manifold and Nehari manifold, we obtain the existence of ground state solutions of this system.