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Multiplicity Results for Kirchhoff Equations with Hardy-Littlewood-Sobolev Critical Nonlinearity

5$
ARTICLE DOWNLOAD

Multiplicity Results for Kirchhoff Equations with Hardy-Littlewood-Sobolev Critical Nonlinearity

5$

Yueqiang Song & Shaoyun Shi 

Abstract

In this paper, we deal with the multiplicity results for Kirchhoff equations with Hardy-Littlewood-Sobolev critical nonlinearity in RNRN. By using the second concentration-compactness principle and concentration-compactness principle at infinity to prove that the (PS)c condition holds locally and together with the new version of symmetric mountain pass theorem of Kajikiya, we prove that the problem admits infinitely many solutions under suitable conditions.

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Year 2020
Language English
Format PDF
DOI 10.1007/s10883-019-09456-3