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dc.contributor.author
Fernandez Bonder, Julian  
dc.contributor.author
Cheng, Zhiwei  
dc.contributor.author
Mikayelyan, Hayk  
dc.date.available
2023-08-30T18:00:44Z  
dc.date.issued
2021-03  
dc.identifier.citation
Fernandez Bonder, Julian; Cheng, Zhiwei; Mikayelyan, Hayk; Fractional optimal maximization problem and the unstable fractional obstacle problem; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 495; 1; 3-2021; 1-11  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/209967  
dc.description.abstract
We consider an optimal rearrangement maximization problem involving the fractional Laplace operator (−Δ)s, 0 < s < 1, and the Gagliardo-Nirenberg seminorm [u]s. We prove the existence of a maximizer, analyze its properties and show that it satisfies the unstable fractional obstacle problem equation for some α > 0.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS  
dc.subject
OBSTACLE PROBLEM  
dc.subject
OPTIMIZATION PROBLEMS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Fractional optimal maximization problem and the unstable fractional obstacle problem  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-08-30T10:46:05Z  
dc.journal.volume
495  
dc.journal.number
1  
dc.journal.pagination
1-11  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Fernandez Bonder, Julian. 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.description.fil
Fil: Cheng, Zhiwei. University of Nottingham Ningbo; China  
dc.description.fil
Fil: Mikayelyan, Hayk. University of Nottingham Ningbo; China  
dc.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2020.124686  

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