Calculus of Variations and Geometric Measure Theory

S. Moll - F. Petitta

Large solutions for the elliptic 1-laplacian with absorption

created by moll on 24 Oct 2012
modified on 15 Apr 2013


Accepted Paper

Inserted: 24 oct 2012
Last Updated: 15 apr 2013

Journal: Journal d'Analyse Mathématique
Year: 2012


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