Shape optimization problems for nonlocal operators

2016/12/27 by Bonder, Julian Fernandez, Ritorto, Antonella, Salort, Ariel Martin
#35R11 #49Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1612.08717

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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