Abstract
The asymptotic behavior of eigenvalues and eigenfunctions of $p$-Laplace operator is investigated. We obtain (I) the best constant of $L^\infty$-Poincaré's inequality, and (II) a limit equation which the limits of eigenvalues and eigenfunctions satisfy in a weak sense.
Citation
Nobuyoshi Fukagai. Masayuki Ito. Kimiaki Narukawa. "Limit as $p\to\infty$ of $p$-Laplace eigenvalue problems and $L^\infty$-inequality of the Poincaré type." Differential Integral Equations 12 (2) 183 - 206, 1999. https://doi.org/10.57262/die/1367265629
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