| 分数阶p-Laplacian Kirchhoff型问题正解的存在性 |
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| 引用本文： | 韩涛,王莉,简慧.分数阶p-Laplacian Kirchhoff型问题正解的存在性[J].数学的实践与认识,2020(10):217-224. |
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| 作者姓名： | 韩涛 王莉 简慧 |
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| 作者单位： | 华东交通大学基础科学学院 |
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| 基金项目： | 国家自然科学基金(11561024,11701178,11761032)。 |
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| 摘 要： | 研究了分数阶p-Laplacian Kirchhoff方程,运用变分法和截断函数理论,证明了在一定条件下具有消失Kirchhoff项的分数阶p-Laplacian问题正解的存在性和多重性.
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| 关 键 词： | 分数阶p-Laplacian Kirchhoff型问题 消失非局部项 变分法 多解 |
Positive Solutions For a Fractional P-Laplacian Kirchhoff Problem with Vanishing Nonlocal Term |
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| HAN Tao,WANG Li,JIAN Hui.Positive Solutions For a Fractional P-Laplacian Kirchhoff Problem with Vanishing Nonlocal Term[J].Mathematics in Practice and Theory,2020(10):217-224. |
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| Authors: | HAN Tao WANG Li JIAN Hui |
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| Institution: | (School of Basic Science,East China Jiaotong University,Nanchang 330013,China) |
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| Abstract: | In this paper we study a fractional p-Laplacian Kirchhoff problem with vanishing nonlocal in a bounded domain.Under an appropriated condition,we prove a multiplicity result of positive solutions by using truncation techniques and variational methods. |
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| Keywords: | fractional p-Laplacian kirchhoff type problem vanishing nonlocal term variational method multiple solutions |
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