A class of shape optimization problems for some nonlocal operators

被引：9
|
作者：
Fernandez Bonder, Julian [1 ,2 ]
Ritorto, Antonella [1 ,2 ]
Martin Salort, Ariel [1 ,2 ]
机构：
[1] Univ Buenos Aires, FCEN, Dept Matemat, Buenos Aires, DF, Argentina
[2] Consejo Nacl Invest Cient & Tecn, IMAS, Buenos Aires, DF, Argentina
来源：
ADVANCES IN CALCULUS OF VARIATIONS | 2018年 / 11卷 / 04期
关键词：
Fractional partial differential equations; shape optimization; SOBOLEV SPACES; LEVY; DIFFUSION; DYNAMICS; PATTERNS; GUIDE;
D O I：
10.1515/acv-2016-0065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study a family of 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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页码：373 / 386
页数：14
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