Shape optimization problems for nonlocal operators

Julian Fernandez Bonder; Antonella Ritorto; Ariel Martin Salort

doi:10.1515/acv-2016-0065

Shape optimization problems for nonlocal operators

Julian Fernandez Bonder
, Antonella Ritorto
, Ariel Martin Salort

Universidad de Buenos Aires

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Journal	Advances in Calculus of Variations
Volume	11
Issue number	4
DOIs	https://doi.org/10.1515/acv-2016-0065
Publication status	Published - 17 May 2017
Externally published	Yes

Bibliographical note

17 pages, submitted

Keywords

math.AP
35R11, 49Q10

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10.1515/acv-2016-0065

Cite this

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title = "Shape optimization problems for nonlocal operators",

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. ",

keywords = "math.AP, 35R11, 49Q10",

author = "Bonder, \{Julian Fernandez\} and Antonella Ritorto and Salort, \{Ariel Martin\}",

note = "17 pages, submitted",

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month = may,

day = "17",

doi = "10.1515/acv-2016-0065",

language = "English",

volume = "11",

journal = "Advances in Calculus of Variations",

issn = "1864-8258",

publisher = "Walter de Gruyter GmbH",

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AU - Bonder, Julian Fernandez

AU - Ritorto, Antonella

AU - Salort, Ariel Martin

N1 - 17 pages, submitted

PY - 2017/5/17

Y1 - 2017/5/17

N2 - 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.

AB - 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.

KW - math.AP

KW - 35R11, 49Q10

U2 - 10.1515/acv-2016-0065

DO - 10.1515/acv-2016-0065

M3 - Article

SN - 1864-8258

VL - 11

JO - Advances in Calculus of Variations

JF - Advances in Calculus of Variations

IS - 4

ER -

Shape optimization problems for nonlocal operators

Abstract

Bibliographical note

Keywords

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Cite this