Normalized solutions to a Choquard equation involving mixed local and nonlocal operators
Analysis of PDEs
2025-09-15 v1
Abstract
In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of these solutions. Next, the equivalence between existence of normalized solutions and the existence of normalized ground states is established.
Keywords
Cite
@article{arxiv.2509.09968,
title = {Normalized solutions to a Choquard equation involving mixed local and nonlocal operators},
author = {J. Giacomoni and Nidhi Nidhi and K. Sreenadh},
journal= {arXiv preprint arXiv:2509.09968},
year = {2025}
}