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A Sub-supersolution Method for Integro-differential Semilinear Elliptic Equations and Some Applications

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Abstract

In this manuscript, we introduce a new sub-supersolution result for a problem involving an integro-differential operator with local and nonlocal terms, which arise in several applications such as thermal process, plasma reaction, and populational growth. The result obtained allows to consider a wide class of equations. Several applications of the result are provided which complements recent studies in the field.

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No datasets were generated or analysed during the current study.

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Authors and Affiliations

  1. Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, Campina Grande, PB, CEP: 58429-900, Brazil

    Romildo N. de Lima & Alânnio B. Nóbrega

  2. Centro de Ciências e Tecnologia, Universidade Federal do Cariri, Juazeiro do Norte, CE, CEP: 63048-080, Brazil

    Leandro S. Tavares

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  1. Romildo N. de Lima
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  2. Alânnio B. Nóbrega
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  3. Leandro S. Tavares
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Correspondence to Romildo N. de Lima.

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This article was partially supported by grant 3177/2021 FAPESQ-PB and Projeto Universal FAPESQ-PB 3031/2021. R. N. de Lima was supported by CNPq/Brazil 306.411/2022-9.

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de Lima, R.N., Nóbrega, A.B. & Tavares, L.S. A Sub-supersolution Method for Integro-differential Semilinear Elliptic Equations and Some Applications. Mediterr. J. Math. 21, 117 (2024). https://doi.org/10.1007/s00009-024-02662-9

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  • DOI: https://doi.org/10.1007/s00009-024-02662-9

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