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A non-local non-autonomous diffusion problem: linear and sublinear cases

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Abstract

In this work we investigate an elliptic problem with a non-local non-autonomous diffusion coefficient. Mainly, we use bifurcation arguments to obtain existence of positive solutions. The structure of the set of positive solutions depends strongly on the balance between the non-local and the reaction terms.

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Authors and Affiliations

  1. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Facultad de Matemáticas, Calle Tarfia s/n, 41012, Seville, Spain

    Tarcyana S. Figueiredo-Sousa, Cristian Morales-Rodrigo & Antonio Suárez

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  1. Tarcyana S. Figueiredo-Sousa
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  2. Cristian Morales-Rodrigo
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  3. Antonio Suárez
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Correspondence to Antonio Suárez.

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Figueiredo-Sousa, T.S., Morales-Rodrigo, C. & Suárez, A. A non-local non-autonomous diffusion problem: linear and sublinear cases. Z. Angew. Math. Phys. 68, 108 (2017). https://doi.org/10.1007/s00033-017-0856-y

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  • DOI: https://doi.org/10.1007/s00033-017-0856-y

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