具有变号权函数的分数阶p-q-Laplacian方程组的多重解  

Multiple solutions of fractional p-q-Laplacian system with sign-changing weight functions

作　　者：李春平 桑彦彬[1] LI Chun-ping;SANG Yan-bin(School of Science,North University of China,Taiyuan 030051,Shanxi,China)

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《山东大学学报（理学版）》2022年第8期95-102,共8页Journal of Shandong University(Natural Science)

基　　金：山西省高等学校科技创新计划资助项目(201802085);山西省基础研究计划资助项目(202103021224198)。

摘　　要：考虑一类具有凹凸非线性项和变号权函数的分数阶p-q-Laplacian方程组,借助于Nehari流形和Ekeland变分原理,证明当参数(λ,μ)属于R^(n)的某个集合时,该方程组至少存在两个非平凡解。The multiple solutions of fractional p-q-Laplacian system involving concave-convex nonlinearities and sign-changing weight functions is considered.The system has at least two nontrivial solutions when the pair of the parameters(λ,μ)belongs to a certain subset of R^(n) are proved by making use of the Nehari manifold and Ekeland's variational principle.

关 键 词：变号权函数 Nehari流形 Ekeland变分原理 p-q-Laplacian 

分 类 号：O175.8[理学—数学]