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Research Article | Open Access

Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities

Yipeng Qiu, Yingying Xiao( ), Yan Zhao, Shengyue Xu
School of Mathematical Science, Jiangxi Science and Technology Normal University, 330038 Nanchang, Jiangxi, China
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Abstract

In this paper, we study the existence and the limit behavior of normalized solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities and α2+2<q<p<+∞. Moreover, we also get the relationship between the minimizer and the ground state solution under the Pohožaev–Nehari manifold of the Chern–Simons–Schrödinger equations.

Keywords

normalized solutionChern–Simons–Schrödinger equationsChoquard-type nonlinearitiesvariational method
CLC number: 35J20, 35J60

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 35293-35307
DOI: 10.3934/math.20241677

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Cite this article:
Qiu Y, Xiao Y, Zhao Y, et al. Normalized ground state solutions for the Chern–Simons–Schrödinger equations with mixed Choquard-type nonlinearities. AIMS Mathematics, 2024, 9(12): 35293-35307. https://doi.org/10.3934/math.20241677

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Received: 19 October 2024
Revised: 02 December 2024
Accepted: 10 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)