分数阶Kirchhoff-SchrÖdinger-Poisson系统解的存在性  

Existence of Nontrivial Solution for a Class of Fractional Kirchhoff-SchrÖdinger-Poisson System

作　　者：张召翔 

机构地区：[1]兰州理工大学,理学院,甘肃 兰州

出　　处：《应用数学进展》2024年第5期2191-2198,共8页Advances in Applied Mathematics

摘　　要：本文研究如下分数阶Kirchhoff-SchrÖdinger-Poisson系统,非平凡解的存在性, 其中 a, b > 0 ,,  s, t ∈ (0, 1) 且 4s + 2t > 3, W (x) ∈ C(R3) 变号且 lim|x|→∞ W (x) = W∞ . 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- SchrÖdinger-Poisson system:,where a, b > 0, , s, t ∈ (0, 1) and 4s + 2t > 3, W (x) ∈ C(R3) is a sign-changing function with lim|x|→∞  W (x) = W∞ . By using mountain pass lemma, we obtain that this system has at least one nontrivial solution.

关 键 词：分数阶Kirchhoff-SchrÖdinger-Poisson系统 变号权 变分法 

分 类 号：O17[理学—数学]