Multiple solutions for weighted Kirchhoff equations involving critical Hardy-Sobolev exponent

In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ . And some known results in the literature are improved....

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Bibliographic Details
Published inAdvances in nonlinear analysis Vol. 10; no. 1; pp. 673 - 683
Main Authors Shen, Zupei, Yu, Jianshe
Format Journal Article
LanguageEnglish
Published De Gruyter 01.01.2021
Subjects
35J10
35J20
35J60
Concentration-Compactness Principle
Critical Hardy-Sobolev exponent
Indefinite nonlinearity
Kirchhoff equation
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ISSN2191-9496
2191-950X
DOI10.1515/anona-2020-0152

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Summary:In this article, we consider a class of Kirchhoff equations with critical Hardy-Sobolev exponent and indefinite nonlinearity, which has not been studied in the literature. We prove very nicely that this equation has at least two solutions in ℝ . And some known results in the literature are improved.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2020-0152