On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group

Autor: Xueqi Sun, Shujie Bai, Yueqiang Song
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Boundary Value Problems, Vol 2022, Iss 1, Pp 1-19 (2022)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-022-01657-3
Popis: Abstract This paper deals with the existence of solutions for the noncooperative Schrödinger–Kirchhoff system involving the p-Laplacian operator and critical nonlinearities on the Heisenberg group. Under some suitable conditions, together with the limit index theory and the concentration–compactness principle, we obtain the existence and multiplicity of solutions for this system. To our best knowledge, the existence results for the noncooperative system with p-Laplacian and critical nonlinearities are new on the Heisenberg group.
Databáze: Directory of Open Access Journals
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