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带有Neumann边界的Kirchhoff问题无穷多径向解的存在性 被引量：5

Existence of infinitely many radial solutions to a Kirchhoff equation with Neumann boundary conditions
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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. 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.
作者 郝娅楠 黄永艳 HAO Ya-nan;HUANG Yong-yan(School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Chin)
机构地区 山西大学数学科学学院
出处 《云南民族大学学报（自然科学版）》 CAS 2018年第3期212-215,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
基金 国家自然科学基金(11571209 11671239) 山西省高等学校科技创新基金(2013021001-4 2014021009-1 2015021007)
关键词 KIRCHHOFF方程 喷泉定理 NEUMANN边界 无穷多径向解 Kirchhoff equation fountain theorem Neumann boundary condition infinitely many radial solution
分类号 O177.91 [理学—基础数学]
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云南民族大学学报（自然科学版）
2018年 第3期

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