2016-04-202016-04-202013-09Carmona Tapia, J., Martínez Aparicio, P.J. y Suárez Fernández, A. (2013). Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth.0362-546Xhttp://hdl.handle.net/11441/40191In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient. We use an adequate sub-supersolution method to prove the existence of solutions, different arguments for the nonexistence and results from Arcoya-Segura de León for the uniqueness.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Nonlinear elliptic equationsnatural growth conditionthe sub-supersolution methodSingular gradient termsExistence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growthinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1016/j.na.2013.05.015https://idus.us.es/xmlui/handle/11441/40191