Abstract
In this paper we analyze a class of elliptic problems involving a nonlocal Kirchhoff-type operator with variable coefficients and with a sign-changing datum. Under appropriated conditions on the coefficients, we have shown existence and uniqueness of solution.
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Camil S. Z. Redwan was partially supported by Fapespa, Brazil. João R. Santos Júnior was partially supported by CNPq-Proc. 302698/2015-9 and CAPES-Proc. 88881.120045/2016-01, Brazil. Antonio Suárez has been partially supported by MTM2015-69875-P (MINECO/FEDER, UE) and CNPq-Proc. 400426/2013-7.
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Redwan, C.S.Z., Santos Júnior, J.R. & Suárez, A. Existence and uniqueness of solution for a nonhomogeneous nonlocal problem. Z. Angew. Math. Phys. 68, 144 (2017). https://doi.org/10.1007/s00033-017-0891-8
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DOI: https://doi.org/10.1007/s00033-017-0891-8