Mathematical and Statistical Sciences Faculty Publications and Presentations

Title

Ground state solutions and decay estimation of Choquard equation with critical exponent and Dipole potential

Document Type

Article

Publication Date

2022

Abstract

In this paper, we study a class of Choquard equations with critical exponent and Dipole potential. We prove the existence of radial ground state solutions for Choquard equations by using the refined Sobolev inequality with the Morrey norm, and show that any nonnegative weak solutions of Choquard equations have additional decay properties in terms of ground state representation.

Publication Title

Discrete and Continuous Dynamical Systems - Series S

DOI

10.3934/dcdss.2022112

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