Sign-changing solutions for a Schrödinger-Kirchhoff-Poisson system with 4-sublinear growth nonlinearity

In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system where Ω is a bounded smooth domain of R3 , a > 0, b ≥ 0 are constants and λ is a positive parameter. Under suitable conditions on Q(x) and combining the method of invariant sets of descending flow, we establish the...

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Elmentve itt :
Bibliográfiai részletek
Szerzők: Yu Shubin
Zhang Ziheng
Yuan Rong
Dokumentumtípus: Folyóirat
Megjelent: 2021
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet, Schrödinger-Kirchhoff-Poisson rendszer
Tárgyszavak:
doi:10.14232/ejqtde.2021.1.86

Online Access:http://acta.bibl.u-szeged.hu/75807
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490 0 |a Electronic journal of qualitative theory of differential equations 
520 3 |a In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system where Ω is a bounded smooth domain of R3 , a > 0, b ≥ 0 are constants and λ is a positive parameter. Under suitable conditions on Q(x) and combining the method of invariant sets of descending flow, we establish the existence and multiplicity of signchanging solutions to this problem for the case that 2 < p < 4 as λ sufficiently small. Furthermore, for λ = 1 and the above assumptions on Q(x), we obtain the same conclusions with 2 < p < 12 5. 
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650 4 |a Matematika 
695 |a Differenciálegyenlet, Schrödinger-Kirchhoff-Poisson rendszer 
700 0 1 |a Zhang Ziheng  |e aut 
700 0 1 |a Yuan Rong  |e aut 
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