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, Yu, Yifeng, Smart, Charles
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/104852