Shape optimization problems for nonlocal operators
Analysis of PDEs
2016-12-28 v1
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.
Cite
@article{arxiv.1612.08717,
title = {Shape optimization problems for nonlocal operators},
author = {Julian Fernandez Bonder and Antonella Ritorto and Ariel Martin Salort},
journal= {arXiv preprint arXiv:1612.08717},
year = {2016}
}
Comments
17 pages, submitted