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,...
Main Authors: | Hynd, Ryan (Author), Yu, Yifeng (Author), Smart, Charles (Contributor) |
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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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Subjects: | |
Online Access: | Get fulltext |
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