School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Ground state solutions and decay estimation of Choquard equation with critical exponent and Dipole potential
Document Type
Article
Publication Date
4-2023
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.
Recommended Citation
Yu Su, Zhaosheng Feng. Ground state solutions and decay estimation of Choquard equation with critical exponent and Dipole potential. Discrete and Continuous Dynamical Systems - S, 2023, 16(3&4): 589-601. doi: https://doi.org/10.3934/dcdss.2022112
Publication Title
Discrete and Continuous Dynamical Systems - Series S
DOI
https://doi.org/10.3934/dcdss.2022112