Inserted: 24 oct 2012
Last Updated: 15 apr 2013
Journal: Journal d'Analyse Mathématique
In this paper we give a general condition on the absorption term of the 1-laplace elliptic equation for the existence of suitable large solutions. This condition can be considered as the correspondent Keller-Osserman condition for the p- laplacian, in the case p = 1. We also provide sucient conditions in order to guarantee uniqueness for solutions to such problems.
Keywords: Large solutions, 1-laplacian, Keller-Osserman