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arXiv:1503.04879 [math.AP]AbstractReferencesReviewsResources

On the viscosity solutions to some nonlinear elliptic equations

Tilak Bhattacharya, Leonardo Marazzi

Published 2015-03-16Version 1

We consider viscosity solutions of a class of nonlinear degenerate elliptic equations on bounded domains. We prove comparison principles and a priori supremum bounds for the solutions. We also address the eigenvalue problem and, in many instances, show the existence of a first eigenvalue and a first positive eigenfunction.

Comments: 31 pages
Categories: math.AP
Subjects: 35J60, 35J70, 35P30
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