| k-Hessian方程径向解的存在性与多解性 |
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| 引用本文： | 梁载涛,单雪梦.k-Hessian方程径向解的存在性与多解性[J].数学物理学报(A辑),2021(1):63-68. |
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| 作者姓名： | 梁载涛 单雪梦 |
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| 作者单位： | 安徽理工大学数学与大数据学院 |
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| 基金项目： | 国家自然科学基金(11901004);安徽省自然科学基金(1908085QA02)。 |
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| 摘 要： | 该文主要研究了k-Hessian方程的Dirichlet问题.利用Leggett-Williams不动点定理,得到了一些关于非平凡径向解的存在性与多解性结论.
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| 关 键 词： | 径向解 DIRICHLET问题 k-Hessian方程 LEGGETT-WILLIAMS不动点定理 |
Multiplicity of Radial Solutions of k-Hessian Equations |
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| Liang Zaitao,Shan Xuemeng.Multiplicity of Radial Solutions of k-Hessian Equations[J].Acta Mathematica Scientia,2021(1):63-68. |
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| Authors: | Liang Zaitao Shan Xuemeng |
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| Institution: | (School of Mathematics and Big Data,Anhui University of Science and Technology,Anhui Huainan 232001) |
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| Abstract: | This paper concerns with a Dirichlet problem of the k-Hessian equation.By using the Leggett-Williams fixed point theorem,we get some results on the existence of triple and arbitrarily many nontrivial radial solutions. |
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| Keywords: | Radial solutions Dirichlet problem k-Hessian equations Leggett-Williams fixed point theorem |
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