一类带权函数的分数阶p-Laplacian方程解的存在性  

Existence of solutions for a class of fractional p-Laplacian equations with weight functions

作　　者：蒋延 许勇强 JIANG Yan;XU Yongqiang(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报(自然科学版)》2025年第1期64-72,共9页Journal of Minnan Normal University:Natural Science

基　　金：国家自然科学基金项目(11571159);福建省自然科学基金项目(2017J01562)。

摘　　要：研究一类带权函数的分数阶p-Laplacian方程,运用山路引理证明了该分数阶p-Lapla‐cian方程在一定条件下存在非平凡解。This paper is dedicated to studying a class of fractional p-Laplacian equations with weight functions.We obtain a nontrivial solution under certain conditions by using the Mountain pass theorem.

关 键 词：分数阶p-Laplacian算子 非平凡解 山路引理 

分 类 号：O175.25[理学—数学]