Zhu Xiaoli and Min Zushun: Ground-state solutions of a Hartree-Fock type system involving critical Sobolev exponent. (2024)
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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 and 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.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2024 |
| Number: | 51 |
| ISSN: | 1417-3875 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2024.1.51 |
| Uncontrolled Keywords: | Hartree-Fock rendszer, Differenciálegyenlet - részleges |
| Additional Information: | Bibliogr.: p. 11-12. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2025. Nov. 18. 14:36 |
| Last Modified: | 2025. Nov. 18. 14:36 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/88853 |
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