Bifurcation analysis of fractional Kirchhoff-Schrödinger-Poisson systems in R3
In this paper, we investigate the bifurcation results of the fractional Kirchhoff– Schrödinger–Poisson system M([u] 2 s su + V(x)u + ϕ(x)u = λg(x)|u| p−1u + |u| 2 s −2u in R3 tϕ(x) = u 2 in R3 where s, t ∈ (0, 1) with 2t +4s > 3 and the potential function V is a continuous function. We show that...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Kirchhoff-Schrödinger-Poisson rendszer, Differenciálegyenlet - parciális, Bifurkáció |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.3 |
| Online Access: | http://acta.bibl.u-szeged.hu/88805 |
| Tartalmi kivonat: | In this paper, we investigate the bifurcation results of the fractional Kirchhoff– Schrödinger–Poisson system M([u] 2 s su + V(x)u + ϕ(x)u = λg(x)|u| p−1u + |u| 2 s −2u in R3 tϕ(x) = u 2 in R3 where s, t ∈ (0, 1) with 2t +4s > 3 and the potential function V is a continuous function. We show that the existence of components of (weak) solutions of the above equation associated with the first eigenvalue λ1 of the problem su + V(x)u = λg(x)u in R 3 The main feature of this paper is the inclusion of a potentially degenerate Kirchhoff model, combined with the critical nonlinearity. |
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| Terjedelem/Fizikai jellemzők: | 17 |
| ISSN: | 1417-3875 |