| 带有Neumann边界的Kirchhoff问题无穷多径向解的存在性 |
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| 引用本文： | 郝娅楠,黄永艳.带有Neumann边界的Kirchhoff问题无穷多径向解的存在性[J].云南民族大学学报(自然科学版),2018(3):212-215. |
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| 作者姓名： | 郝娅楠 黄永艳 |
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| 作者单位： | 山西大学数学科学学院 |
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| 摘 要： | 研究了有界区域上带有Neumann边界的Kirchhoff方程解的存在性.在非线性项次临界的条件下,利用喷泉定理,得到了Kirchhoff方程有无穷多个径向解.
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| 关 键 词： | Kirchhoff方程 喷泉定理 Neumann边界 无穷多径向解 |
Existence of infinitely many radial solutions to a Kirchhoff equation with Neumann boundary conditions |
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| Institution: | ,School of Mathematical Sciences,Shanxi University |
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| Abstract: | This paper focuses on the study of the existence of solutions to a Kirchhoff equation in a bounded smooth domain with Neumann boundary conditions. Under the subcritical hypothesis of the nonlinear term,it has obtained infinitely many radial solutions by the Fountain theorem. |
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| Keywords: | Kirchhoff equation fountain theorem Neumann boundary condition infinitely many radial solutions |
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