Sign-changing solutions for a Schrödinger–Kirchhoff–Poisson system with 4-sublinear growth nonlinearity
نویسندگان
چکیده
In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system { − ( a + b ∫ | mathvariant="normal">∇<!-- ∇ <mml:mi>u 2 d x ) mathvariant="normal">Δ<!-- Δ <mml:mi>λ<!-- λ <mml:mi>ϕ<!-- ϕ <mml:mo>= Q stretchy="false">( stretchy="false">) p displaystyle="false" in , 0 on mathvariant="normal">∂<!-- ∂ </mml:mtable> fence="true" stretchy="true" symmetric="true" /> where xmlns="http://www.w3.org/1998/Math/MathML"> is a bounded smooth domain of mathvariant="double-struck">R 3 , > ≥<!-- ≥ are constants and positive parameter. Under suitable conditions on combining method invariant sets descending flow, establish existence multiplicity sign-changing solutions to problem for case that <mml:mo>< 4 as sufficient small. Furthermore, 1 above assumptions obtain same conclusions with 12 5 .
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2021
ISSN: ['1417-3875']
DOI: https://doi.org/10.14232/ejqtde.2021.1.86