Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth
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URI: http://hdl.handle.net/10835/15699
DOI: https://doi.org/10.1016/j.na.2013.05.015
DOI: https://doi.org/10.1016/j.na.2013.05.015
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2013Resumen
In 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 Le´on for the uniqueness.
Palabra/s clave
Nonlinear elliptic equations
Natural growth condition
The sub–super-solution method
Singular gradient terms