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arXiv:1612.08717 [math.AP]AbstractReferencesReviewsResources

Shape optimization problems for nonlocal operators

Julian Fernandez Bonder, Antonella Ritorto, Ariel Martin Salort

Published 2016-12-27Version 1

In this work we study a general shape optimization problem where the state equation is given in terms of a nonlocal operator. Examples of the problems considered are monotone combinations of fractional eigenvalues. Moreover, we also analyze the transition from nonlocal to local state equations.

Comments: 17 pages, submitted
Categories: math.AP
Subjects: 35R11, 49Q10
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