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arXiv · 1409.8465

Large solutions for the elliptic $1$-Laplacian with absorption

Salvador Moll·Francesco Petitta
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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 $p$-Laplacian, in the case $p=1$. We also provide conditions that guarantee uniqueness for solutions to such problems.

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Salvador Moll, Francesco Petitta. 2017-02-14. Large solutions for the elliptic $1$-Laplacian with absorption. https://doi.org/10.1007/s11854-015-0004-6

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