Nonuniqueness of infinity ground states

In this paper, we construct a dumbbell domain for which the associated principal [infinity symbol]-eigenvalue is not simple. This gives a negative answer to the outstanding problem posed in Juutinen et al. (Arch Ration Mech Anal 148(2):89-105, 1999; The infinity Laplacian: examples and observations,...

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Bibliographic Details
Main Authors: Hynd, Ryan (Author), Yu, Yifeng (Author), Smart, Charles (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2016-10-19T17:40:40Z.
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