| 有界区域上一类p-Laplacian方程解的存在性与多解性 |
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| 引用本文： | 黄建平,张齐.有界区域上一类p-Laplacian方程解的存在性与多解性[J].华中师范大学学报(自然科学版),2018,52(1):8-13. |
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| 作者姓名： | 黄建平 张齐 |
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| 作者单位： | 中南大学 数学与统计学院， 长沙 410083 |
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| 摘 要： | 主要运用变分法，在较弱的超p次条件下研究了有界区域上的一类p-Laplacian方程无穷多解的存在性. 推广和改善了参考文献中邹文明和刘轼波、李树杰等的结果.
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| 关 键 词： | p-Laplacian算子 超p次条件 无穷多解 |
| 收稿时间： | 2018-03-02 |
Existence and multiplicity of solutions for a class of p-Laplacian equation in a bounded domain |
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| HUANG Jianping,ZHANG Qi.Existence and multiplicity of solutions for a class of p-Laplacian equation in a bounded domain[J].Journal of Central China Normal University(Natural Sciences),2018,52(1):8-13. |
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| Authors: | HUANG Jianping ZHANG Qi |
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| Institution: | School of Mathematics and Statistics， Central South University， Changsha 410083， China |
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| Abstract: | This paper focuses on the existence of infinitely many large energy solutions for a class of p-Laplacian equation in a bounded domain. Under weaker super p-times conditions， we obtain the results based on variational methods. Our results improve the results of Zou W M and Liu S B. |
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| Keywords: | p-Laplacian operators super p-times condition infinitely many solutions |
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