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dc.contributor.author
Ritorto, Antonella
dc.date.available
2018-08-16T03:05:36Z
dc.date.issued
2018-04
dc.identifier.citation
Ritorto, Antonella; Optimal partition problems for the fractional Laplacian; Springer Heidelberg; Annali Di Matematica Pura Ed Applicata; 197; 2; 4-2018; 501-516
dc.identifier.issn
0373-3114
dc.identifier.uri
http://hdl.handle.net/11336/55818
dc.description.abstract
In this work, we prove an existence result for an optimal partition problem of the form min{Fs(A1, …, Am) : Ai ∈ As, Ai ∩ Aj = ∅ for i ≠ j}, where Fs is a cost functional with suitable assumptions of monotonicity and lower semicontinuity, As is the class of admissible domains and the condition Ai∩ Aj= ∅ is understood in the sense of Gagliardo s-capacity, where 0 < s < 1. Examples of this type of problem are related to fractional eigenvalues. As the main outcome of this article, we prove some type of convergence of the s-minimizers to the minimizer of the problem with s= 1 , studied in [5].
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer Heidelberg
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Fractional Capacities
dc.subject
Fractional Partial Equations
dc.subject
Optimal Partition
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Optimal partition problems for the fractional Laplacian
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T14:01:47Z
dc.journal.volume
197
dc.journal.number
2
dc.journal.pagination
501-516
dc.journal.pais
Alemania
dc.journal.ciudad
Heildelberg
dc.description.fil
Fil: Ritorto, Antonella. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Annali Di Matematica Pura Ed Applicata
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10231-017-0689-5
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10231-017-0689-5
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