Existence of positive solutions for a class of Kirchhoff-type equations with critical Hardy-Sobolev exponent

LI Hongying; LIAO Jiafeng

doi:10.7523/j.issn.2095-6134.2019.01.003

Journal of University of Chinese Academy of Sciences >

2019 , Vol. 36 >Issue 1: 11 - 14

DOI: https://doi.org/10.7523/j.issn.2095-6134.2019.01.003

Existence of positive solutions for a class of Kirchhoff-type equations with critical Hardy-Sobolev exponent

LI Hongying ,
LIAO Jiafeng

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1. School of Mathematics and Information, China West Normal University, Nanchong 63700;
2. School of Mathematics, Zunyi Normal College, Zunyi 563006, Guizhou, China

Received date: 2017-05-08

Revised date: 2017-11-16

Online published: 2019-01-15

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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.

Key words： Kirchhoff-type equation; critical Hardy-Sobolev exponent; positive solutions; variational method

Cite this article

LI Hongying , LIAO Jiafeng . Existence of positive solutions for a class of Kirchhoff-type equations with critical Hardy-Sobolev exponent[J]. Journal of University of Chinese Academy of Sciences, 2019 , 36(1) : 11 -14 . DOI: 10.7523/j.issn.2095-6134.2019.01.003

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