A class of shape optimization problems for some nonlocal operators

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. ©...

Descripción completa

Detalles Bibliográficos
Publicado: 2018
Materias:
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18648258_v11_n4_p373_FernandezBonder
http://hdl.handle.net/20.500.12110/paper_18648258_v11_n4_p373_FernandezBonder
Aporte de:
id paper:paper_18648258_v11_n4_p373_FernandezBonder
record_format dspace
spelling paper:paper_18648258_v11_n4_p373_FernandezBonder2023-06-08T16:29:37Z A class of shape optimization problems for some nonlocal operators Fractional partial differential equations shape optimization 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. © 2018 Walter de Gruyter GmbH, Berlin/Boston. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18648258_v11_n4_p373_FernandezBonder http://hdl.handle.net/20.500.12110/paper_18648258_v11_n4_p373_FernandezBonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fractional partial differential equations
shape optimization
spellingShingle Fractional partial differential equations
shape optimization
A class of shape optimization problems for some nonlocal operators
topic_facet Fractional partial differential equations
shape optimization
description 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. © 2018 Walter de Gruyter GmbH, Berlin/Boston.
title A class of shape optimization problems for some nonlocal operators
title_short A class of shape optimization problems for some nonlocal operators
title_full A class of shape optimization problems for some nonlocal operators
title_fullStr A class of shape optimization problems for some nonlocal operators
title_full_unstemmed A class of shape optimization problems for some nonlocal operators
title_sort class of shape optimization problems for some nonlocal operators
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_18648258_v11_n4_p373_FernandezBonder
http://hdl.handle.net/20.500.12110/paper_18648258_v11_n4_p373_FernandezBonder
_version_ 1768544153759645696