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

Authors :
Yang, Hua
Liu, Jiu
Source :
Mathematics (2227-7390). Jun2023, Vol. 11 Issue 12, p2648. 10p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*EQUATIONS

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
12
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
164689445
Full Text :
https://doi.org/10.3390/math11122648