Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities

Yu-Cheng An and Guai-Qi Tian

Abstract and Applied Analysis, 2025, vol. 2025, 1-13

Abstract: This paper is concerned with the positive solutions to a fractional-order system with Hartree-type nonlinearity and its equivalent integral system. We firstly use the regularity lifting lemma to obtain the integrability and smoothness of the solutions. We then prove that the solutions are radially symmetric and monotone decreasing about some point x0∈RN via the method of moving planes and hence derive the explicit forms of the solutions.MSC2020 Classification: 35R11, 35B06, 35B65

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:3178769

DOI: 10.1155/aaa/3178769

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