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dc.contributor.author
Fernandez Bonder, Julian  
dc.contributor.author
Cheng, Zhiwei  
dc.contributor.author
Mikayelyan, Hayk  
dc.date.available
2021-10-15T18:04:48Z  
dc.date.issued
2020-01  
dc.identifier.citation
Fernandez Bonder, Julian; Cheng, Zhiwei; Mikayelyan, Hayk; Optimal rearrangement problem and normalized obstacle problem in the fractional setting; De Gruyter; Advances in Nonlinear Analysis; 9; 1; 1-2020; 1592-1606  
dc.identifier.issn
2191-9496  
dc.identifier.uri
http://hdl.handle.net/11336/143893  
dc.description.abstract
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (-Δ)s, 0 < s < 1, and the Gagliardo seminorm jujs. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local and highly non-linear PDE it satises -(-Δ)sU - x-(-Δ)sU+; 1 =U>0g, which happens to be the fractional analogue of the normalized obstacle problem Δu = xu>0.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
De Gruyter  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/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
Optimal rearrangement problem and normalized obstacle problem in the fractional setting  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2021-09-07T18:37:25Z  
dc.identifier.eissn
2191-950X  
dc.journal.volume
9  
dc.journal.number
1  
dc.journal.pagination
1592-1606  
dc.journal.pais
Alemania  
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; China  
dc.description.fil
Fil: Mikayelyan, Hayk. University of Nottingham Ningbo China; China  
dc.journal.title
Advances in Nonlinear Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1515/anona-2020-0067  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/anona-2020-0067/html  

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