Back to Search
Start Over
Ground-state solutions of a Hartree–Fock type system involving critical Sobolev exponent
- Source :
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 51, Pp 1-12 (2024)
- Publication Year :
- 2024
- Publisher :
- University of Szeged, 2024.
-
Abstract
- In this paper, ground-state solutions to a Hartree–Fock type system with a critical growth are studied. Firstly, instead of establishing the local Palais–Smale (P.-S.) condition and estimating the mountain-pass critical level, a perturbation method is used to recover compactness obtain the existence of ground-state solutions. To achieve this, an important step is to get the right continuity of the mountain-pass level on the coefficient in front of perturbing terms. Subsequently, depending on the internal parameters of coupled nonlinearities, whether the ground state is semi-trivial or vectorial is proved.
- Subjects :
- hartree–fock systems
ground-state solutions
critical growth
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 14173875
- Volume :
- 2024
- Issue :
- 51
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.77857c7b48494b21a17f8f1f7658c10c
- Document Type :
- article
- Full Text :
- https://doi.org/10.14232/ejqtde.2024.1.51