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arXiv · 1912.10861

General uniqueness results for large solutions

Julián López-Gómez·Luis Maire·Laurent Veron
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Abstract

We give a series of very general sufficient conditions in order to ensure the uniqueness of large solutions for --$Δ$u + f (x, u) = 0 in a bounded domain $Ω$ where f : $Ω$ x R $\rightarrow$ R + is a continuous function, such that f (x, 0) = 0 for x $\in$ $Ω$, and f (x, r) > 0 for x in a neighborhood of $\partial$$Ω$ and all r > 0. 2010 Mathematics Subject Classification. 35 J 61; 31 B 15; 28 C 05 .

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Julián López-Gómez, Luis Maire, Laurent Veron. 2019-12-23. General uniqueness results for large solutions. https://doi.org/10.1007/s00033-020-01325-5

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