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一类奇异Kirchhoff型问题正解的存在性 被引量：6

Existence of Positive Solutions for a Class of Singular Kirchhoff Type Problem
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摘要 Kirchhoff型问题通常被看作非局部问题,起源于非线性振动理论.研究一类奇异Kirchhoff型问题,利用变分方法,获得该问题正解的存在性.该结果丰富奇异Kirchhoff型问题正解的存在性理论. Kirchhoff type problems are often considered to as nonlocal and originate in the theory of nonlinear vibrations. A class of singular Kirchhoff type problems is discussed. By the variational methods,the existence of positive solutions is obtained. This result enriches the theory of positive solutions for Kirchhoff type problems.
作者 廖家锋 陈明 张鹏
机构地区 遵义师范学院数学与计算科学学院
出处 《四川师范大学学报（自然科学版）》 CAS 北大核心 2016年第1期103-106,共4页 Journal of Sichuan Normal University（Natural Science）
基金 贵州省科学技术科学基金(LKZS[2012]11 LKZS[2012]12和LKZS[2014]22)
关键词 Kirchhoff型问题 奇异 正解 变分方法 Kirchhoff type problem singularity positive solution variational method
分类号 O177.91 [理学—基础数学]
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参考文献15

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共引文献8

同被引文献14

引证文献6

二级引证文献11

四川师范大学学报（自然科学版）
2016年 第1期

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