On the existence of ground states of an equation of Schrödinger–Poisson–Slater type

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 solutio...

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Bibliographic Details
Main Authors: Lei, Chunyu, Lei, Yutian
Format: Article
Language:English
Published: Académie des sciences 2021-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.175/