Ground-state solutions of a Hartree-Fock type system involving critical Sobolev exponent
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 exis...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
|
| Sorozat: | Electronic journal of qualitative theory of differential equations
|
| Kulcsszavak: | Hartree-Fock rendszer, Differenciálegyenlet - részleges |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.51 |
| Online Access: | http://acta.bibl.u-szeged.hu/88853 |
| Tartalmi kivonat: | 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. |
|---|---|
| ISSN: | 1417-3875 |