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Research Article | Open Access

Least energy solutions to a class of nonlocal Schrödinger equations

School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Taishan Road 143, Qinhuangdao 066004, China
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Abstract

We explore a class of nonlocal Schrödinger equations that include not only fractional Schrödinger equations but also other nonlocal Schrödinger equations studied in the literature. We prove the existence of least energy solutions to this class of equations by the variational method, which extends the results obtained by Gu et al. (2018) and Xiang et al. (2019).

Keywords

least energy solutionnonlocal Schrödinger equationcritical pointNehari manifold
CLC number: 35Q55, 35J60, 35A15

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 20763-20772
DOI: 10.3934/math.20241009

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Zhang Y-C. Least energy solutions to a class of nonlocal Schrödinger equations. AIMS Mathematics, 2024, 9(8): 20763-20772. https://doi.org/10.3934/math.20241009

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Received: 10 May 2024
Revised: 18 June 2024
Accepted: 20 June 2024
Published: 15 August 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)