Large solutions for the elliptic $1$-Laplacian with absorption
Analysis of PDEs
2017-02-15 v2
Abstract
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 -Laplacian, in the case . We also provide conditions that guarantee uniqueness for solutions to such problems.
Cite
@article{arxiv.1409.8465,
title = {Large solutions for the elliptic $1$-Laplacian with absorption},
author = {Salvador Moll and Francesco Petitta},
journal= {arXiv preprint arXiv:1409.8465},
year = {2017}
}