Sobreira de Araujo Correa, Francisco JúlioSuárez Fernández, Antonio2016-07-052016-07-052012-03-30Sobreira de Araujo Correa, F.J. (2012). Combining local and non-local terms in a nonlinear elliptic problem. Mathematical Methods in the Applied Sciences, 35 (5), 547-563.0170-42141099-1476http://hdl.handle.net/11441/43160In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic problem that combines local and non-local terms taking the form of an integral in space. The proofs are mainly based on fixed point theorems, bifurcation techniques, sub-supersolutions and continuation arguments.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Non-local elliptic equationsBifurcation techniquesA priori boundsCombining local and non-local terms in a nonlinear elliptic probleminfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1002/mma.1592