一类带Hardy-Sobolev临界指数的Kirchhoff型方程正解的存在性 |
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作者姓名: | 李红英 廖家锋 |
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作者单位: | 1. 西华师范大学数学与信息学院, 四川 南充 63700;
2. 遵义师范学院数学学院, 贵州 遵义 563006 |
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基金项目: | 西华师范大学英才科研基金(17YC383)、贵州省教育厅创新群体重大项目(黔教合KY[2016]046)、贵州省科技厅联合基金(黔科合LH字[2016]7033)和西华师范大学科研启动基金(18D052)资助 |
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摘 要: |
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关 键 词: | Kirchhoff型方程 Hardy-Sobolev临界指数 正解 变分法 |
收稿时间: | 2017-05-08 |
修稿时间: | 2017-11-16 |
Existence of positive solutions for a class of Kirchhoff-type equations with critical Hardy-Sobolev exponent |
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Authors: | LI Hongying LIAO Jiafeng |
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Institution: | 1. School of Mathematics and Information, China West Normal University, Nanchong 63700;
2. School of Mathematics, Zunyi Normal College, Zunyi 563006, Guizhou, China |
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Abstract: | he Kirchhoff-type equation with critical Hardy-Sobolev exponent is considered, where Ω?R3 is an open bounded domain with smooth boundary ?Ω, 0∈Ω, a,b ≥ 0 and a+b>0, λ>0,0 < q < 1,0 ≤ s<1. The existence of its positive solutions is proved by using the variational methods. |
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Keywords: | Kirchhoff-type equation critical Hardy-Sobolev exponent positive solutions variational method |
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