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arXiv · 1612.08717

Shape optimization problems for nonlocal operators

Julian Fernandez Bonder·Antonella Ritorto·Ariel Martin Salort
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Abstract

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.

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Julian Fernandez Bonder, Antonella Ritorto, Ariel Martin Salort. 2016-12-27. Shape optimization problems for nonlocal operators. https://arxiv.org/abs/1612.08717

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