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Large solutions for the elliptic 1-Laplacian with absorption - MaRDI portal

Large solutions for the elliptic 1-Laplacian with absorption (Q2352235)

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Large solutions for the elliptic 1-Laplacian with absorption
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    Large solutions for the elliptic 1-Laplacian with absorption (English)
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    30 June 2015
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    In this article, a general condition on the absorption term of the 1-Laplace elliptic equation for the existence of suitable large solutions is given. This is a Keller-Osserman condition for the \(p\)-Laplacian with \(p=1\). Additionally, conditions that guarantee uniqueness of solutions to such problems are provided.
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    1-Laplace elliptic equation
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    Keller-Osserman condition
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    uniqueness of solutions
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