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分数阶Kirchhoff-Schr？dinger-Poisson系统解的存在性
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Abstract:
本文研究如下分数阶Kirchhoff-Schr？dinger-Poisson系统![\"\"](\"Edit_e3873d1b-ce19-4b92-a0bb-0020ce418cc2.png\")
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非平凡解的存在性, 其中 a, b > 0 ,![\"\"](\"Edit_90fb70c2-9b0c-43f5-b548-434a23d1fafe.png\")
,？ s, t ∈ (0, 1) 且 4s + 2t > 3, W (x) ∈ C(R3) 变号且 lim|x|→∞ W (x) = W∞ < 0 , ![\"\"](\"Edit_232c87e9-7011-4f98-a894-d00122f4c3ed.png\")
. 应用山路引理, 本文得到该系统至少存在一个非平凡解.
In this paper, we study the existence of nontrivial solution for fractional Kirchhoff- Schr？dinger-Poisson system:![\"\"](\"Edit_4fde5281-8932-4d55-ad44-ddd9fb11467e.png\")
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where a, b > 0, ![\"\"](\"Edit_1c7bf283-eddd-4018-926b-c34e0f60bbb4.png\")
, s, t ∈ (0, 1) and 4s + 2t > 3, W (x) ∈ C(R3) is a sign-changing function with lim|x|→∞？ W (x) = W∞ < 0, ![\"\"](\"Edit_6e4ff66c-ab48-4900-8983-abce3f3974b8.png\")
. By using mountain pass lemma, we obtain that this system has at least one nontrivial solution.
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