A class of shape optimization problems for some nonlocal operators

被引：11

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.

引用

页码：373 / 386

页数：14

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