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Browsing by Subject "concentration-compactness principle"

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    Item type:Article, Access status: Open Access ,
    Existence of solutions for a doubly critical Schrödinger-Poisson system on the first Heisenberg group
    (Wydawnictwa AGH, 2026) Ma, Xueyan; Shi, Shaoyun; Song, Yueqiang
    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.