@Article{Ma2026,
author = "Ma, Xueyan and Shi, Shaoyun and Song, Yueqiang",
title = "Existence of solutions for a doubly critical Schrödinger-Poisson system on the first Heisenberg group",
journal = "Opuscula Math.",
year = "2026",
volume = "46",
number = "3",
pages = "347--366",
doi = "https://doi.org/10.7494/OpMath.202605211",
url = "https://doi.org/10.7494/OpMath.202605211",
abstract = "This work is devoted to the study of a class of Schrödinger-Poisson system with doubly critical growth on the first Heisenberg group. Utilizing the concentration-compactness principle associated with classical Sobolev space on the Heisenberg group and mountain pass theorem, we prove that the system admits multiple nontrivial solutions.",
keywords = "Heisenberg group, Schrödinger-Poisson system, concentration-compactness principle, mountain pass theorem, nontrivial solutions",
issn = "1232-9274"
}