On Kirchhoff-Type Equations with Hardy Potential and Berestycki–Lions Conditions

Hua Yang and Jiu Liu ()
Additional contact information
Hua Yang: School of Mathematics and Information Science, Anyang Institute of Technology, Anyang 455000, China
Jiu Liu: School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun 558000, China

Mathematics, 2023, vol. 11, issue 12, 1-10

Abstract: The purpose of this paper is to investigate the existence and asymptotic properties of solutions to a Kirchhoff-type equation with Hardy potential and Berestycki–Lions conditions. Firstly, we show that the equation has a positive radial ground-state solution u λ by using the Pohozaev manifold. Secondly, we prove that the solution u λ n , up to a subsequence, converges to a radial ground-state solution of the corresponding limiting equations as λ n → 0 − . Finally, we provide a brief summary.

Keywords: Kirchhoff equation; Pohozaev manifold; radial ground-state solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/12/2648/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/12/2648/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:12:p:2648-:d:1167996

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().