数学杂志2024，Vol.44Issue(1)：1-16,16.
具有p-Laplacian算子的分数阶问题共振正解的存在性
EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL PROBLEMS WITH p-LAPLACIAN OPERATOR AT RESONANCE
摘要
Abstract
The paper studies the existence of positive solutions for fractional differential equations with p-Laplacian at resonance under two kinds of boundary conditions.Some new ex-istence results are obtained by using Leggett-Williams norm-type theorem,which generalize the existing results.关键词
p-Laplacian算子/Leggett-Williams范数型定理/共振/正解Key words
p-Laplacian operator/Leggett-Williams norm-type theorem/resonant/positive solution分类
数理科学引用本文复制引用
薛婷婷,姜永胜,曹虹..具有p-Laplacian算子的分数阶问题共振正解的存在性[J].数学杂志,2024,44(1):1-16,16.基金项目
Supported by Natural Science Foundation of Xinjiang Uygur Autonomous Region(2021D01B35),Natural Science Foundation of colleges and universities in Xinjiang Uygur Au-tonomous Region(XJEDU2021Y048)and Doctoral Initiation Fund of Xinjiang Institute of Engineering(2020xgy012302). （2021D01B35）
