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- Title
On the noncooperative Schrödinger–Kirchhoff system involving the critical nonlinearities on the Heisenberg group.
- Authors
Sun, Xueqi; Bai, Shujie; Song, Yueqiang
- 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.
- Subjects
MULTIPLICITY (Mathematics)
- Publication
Boundary Value Problems, 2022, Vol 2022, Issue 1, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1186/s13661-022-01657-3