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

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.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2026-07-16
DOI
https://doi.org/10.11948/20250391
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

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

Feng Deng, Qihui Zhong, Siyuan Liu
Journal of Applied Analysis & Computation
Nonlinear Waves and Solitons
article

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

Feng Deng, Qihui Zhong, Siyuan Liu
article en

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.

Journal of Applied Analysis & ComputationVol. 17(1)
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Nonlinear Waves and Solitons
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