GROUND STATE SOLUTIONS FOR A CLASS OF HALF-WAVE CHOQUARD EQUATION WITH ASYMMETRIC PERTURBATION FUNCTION

Siyuan Liu; Qihui Zhong; Feng Deng

doi:10.11948/20250391

2027 Volume 17 Issue 1

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Siyuan Liu, Qihui Zhong, Feng Deng. GROUND STATE SOLUTIONS FOR A CLASS OF HALF-WAVE CHOQUARD EQUATION WITH ASYMMETRIC PERTURBATION FUNCTION[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 1-13. doi: 10.11948/20250391

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Siyuan Liu, Qihui Zhong, Feng Deng. GROUND STATE SOLUTIONS FOR A CLASS OF HALF-WAVE CHOQUARD EQUATION WITH ASYMMETRIC PERTURBATION FUNCTION[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 1-13. doi: 10.11948/20250391

GROUND STATE SOLUTIONS FOR A CLASS OF HALF-WAVE CHOQUARD EQUATION WITH ASYMMETRIC PERTURBATION FUNCTION

1.
School of Mathematics and Statistics, Hunan University of Science and Technology, Xiangtan, Hunan 411100, China

Author Bio: Email: 969961514@qq.com(Q. Zhong); Email: 2762608225@qq.com(F. Deng)
Corresponding author: Email: 1099039015@qq.com(S. Liu)
Fund Project: This work is supported by the Innovation and Entrepreneurship Training Program for College Students of Hunan Province S202510534126

Abstract

Abstract

In this paper, we investigate a class of half-wave Choquard equation with asymmetric perturbation function. By establishing a generalized Lieb type compactness theorem and employing the Nehari manifold method, we prove that the aforementioned equation admits a ground state solution.
- Half-wave Choquard equation /
- ground state solution /
- generalized version of Lieb's compactness theorem /
- Nehari manifold method
MSC: 35J20, 35J60

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References

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