一类带变号权 Kirchhoff-Poisson 系统非平凡解的存在性
Existence of Nontrivial Solution for a Class of Kirchhoff-Poisson System withSign-Changing Weight
DOI: 10.12677/AAM.2024.135192, PDF, 下载: 22  浏览: 36 
作者: 马银兰：兰州理工大学理学院，甘肃 兰州
关键词: Kirchhoff-Poisson系统；变号权；非平凡解；Kirchhoff-Poisson System； Sign-Changing Weight； Nontrivial Solution
摘要: 应用山路引理, 本文研究 Kirchhoff-Poisson 系统,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).
Abstract: By using mountain pass theorem, we are concerned with the existence of nontrivial solution of Kirchhoff-Poisson system in this paper: ,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).
文章引用：马银兰. 一类带变号权 Kirchhoff-Poisson 系统非平凡解的存在性[J]. 应用数学进展, 2024, 13(5): 2053-2061. https://doi.org/10.12677/AAM.2024.135192

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