The Gelfand problem for the Infinity Laplacian
We study the asymptotic behavior as $ p\to\infty $ of the Gelfand problem $ \begin{equation*} \left\{ \begin{aligned} -&\Delta_{p} u = \lambda\,e^{u}&& \text{in}\ \Omega\subset \mathbb{R}^n\\ &u = 0 && \text{on}\ \partial\Omega. \end{aligned} \ri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-04-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.202302210.3934/mbe.2022310 |