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一类带变号权 Kirchhoff-Poisson 系统非平凡解的存在性
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Abstract:
应用山路引理, 本文研究 Kirchhoff-Poisson 系统![\"\"](\"Edit_050140df-807e-4e77-8f41-cdb4f2eb041d.png\")
,非平凡解的存在性, 其中 a, b > 0, 3 < p < 5, P (x) ∈ C(R3, R) 且 lim▕x▕→∞P (x) = P∞< 0 ,K(x) ∈ C(R3, R) 且 K(x) ∈ L2(R3).
By using mountain pass theorem, we are concerned with the existence of nontrivial solution of Kirchhoff-Poisson system in this paper: ![\"\"](\"Edit_53a0adfb-f211-4109-a776-c4fbf512b0a4.png\")
,where a, b > 0, 3 < p < 5, P (x) ∈ C(R3) is a sign-changing function with lim▕x▕→∞P (x) = P∞< 0 ,K(x) ∈ C(R3, R) 且 K(x) ∈ L2(R3).
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