| 摘要: |
| 本文研究了具有p-拉普拉斯算子的分数阶微分方程在两种边界条件下的共振正解存在的问题.利用Leggett-Williams范型定理的方法,获得了一些新的存在性结果,推广了该类问题已有的研究结果. |
| 关键词: p-Laplacian算子 Leggett-Williams范数型定理 共振 正解 |
| DOI： |
| 分类号:O175.8 |
| 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 Autonomous Region (XJEDU2021Y048) and Doctoral Initiation Fund of Xinjiang Institute of Engineering (2020xgy012302). |
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| EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL PROBLEMS WITH p-LAPLACIAN OPERATOR AT RESONANCE |
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XUE Ting-ting, JIANG Yong-sheng, CAO Hong
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School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi 830000, China
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| 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 existence results are obtained by using Leggett-Williams norm-type theorem, which generalize the existing results. |
| Key words: p-Laplacian operator Leggett-Williams norm-type theorem resonant positive solution |
