Multiplicity results for a Kirchhoff type equations with general potential

Authors

https://doi.org/10.61383/ejam.20242259

Keywords:

Palais-Smale condition, Morse index, Kirchhoff type equation, Variational methods

Abstract

This research we examine a Kirchhoff type equation in \(\mathbb{R}^{3}\) involving a potential that changes sign. By imposing appropriate conditions on \(V\) and making spectral assumptions, we successfully establish the existence of multiple solutions for this particular issue using variational methods.

References

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Published

2024 May 11

How to Cite

[1]
L. Chen, T. Hu, and J. Zhou, “Multiplicity results for a Kirchhoff type equations with general potential”, Electron. J. Appl. Math., vol. 2, no. 2, pp. 1–9, May 2024.

Issue

Vol. 2 No. 2 (2024)

Section

Research Article

License

Copyright (c) 2024 Linsong Chen, Tianqun Hu; Jian Zhou (Corresponding Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
 
 
Received 2024 Jan 09
Accepted 2024 May 02
Published 2024 May 11

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