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| Campo DC | Valor | Lengua/Idioma |
|---|---|---|
| dc.provenance | CONICET | - |
| dc.creator | Mazón, José M. | - |
| dc.creator | Pérez Pérez, Maria Teresa | - |
| dc.creator | Rossi, Julio Daniel | - |
| dc.creator | Toledo, Julián | - |
| dc.date | 2017-07-04T15:35:47Z | - |
| dc.date | 2017-07-04T15:35:47Z | - |
| dc.date | 2016 | - |
| dc.date | 2017-06-26T14:09:05Z | - |
| dc.date.accessioned | 2019-04-29T15:38:47Z | - |
| dc.date.available | 2019-04-29T15:38:47Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier | Mazón, José M.; Pérez Pérez, Maria Teresa; Rossi, Julio Daniel; Toledo, Julián; A nonlocal 1-Laplacian problem and median values; Universitat Autònoma de Barcelona; Publicacions Matematiques; 60; 1; -1-2016; 27-53 | - |
| dc.identifier | 0214-1493 | - |
| dc.identifier | http://hdl.handle.net/11336/19454 | - |
| dc.identifier | 2014-4350 | - |
| dc.identifier | CONICET Digital | - |
| dc.identifier | CONICET | - |
| dc.identifier.uri | http://rodna.bn.gov.ar:8080/jspui/handle/bnmm/298445 | - |
| dc.description | In this paper, we study solutions to a nonlocal 1-Laplacian equation given by − Z ΩJ J(x − y) uψ(y) − u(x) |uψ(y) − u(x)| dy = 0 for x ∈ Ω with u(x) = ψ(x) for x ∈ ΩJ \ Ω. We introduce two notions of solution and prove that the weaker of the two concepts is equivalent to a nonlocal median value property, where the median is determined by a measure related to J. We also show that solutions in the stronger sense are nonlocal analogues of local least gradient functions, in the sense that they minimize a nonlocal functional. In addition, we prove that solutions in the stronger sense converge to least gradient solutions when the kernel J is appropriately rescaled. | - |
| dc.description | Fil: Mazón, José M.. Universidad de Valencia; España | - |
| dc.description | Fil: Pérez Pérez, Maria Teresa. Universidad Autónoma de Madrid; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina | - |
| dc.description | Fil: Rossi, Julio Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina | - |
| dc.description | Fil: Toledo, Julián. Universidad de Valencia; España | - |
| dc.format | application/pdf | - |
| dc.format | application/pdf | - |
| dc.language | eng | - |
| dc.publisher | Universitat Autònoma de Barcelona | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.5565/PUBLMAT_60116_02 | - |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://mat.uab.cat/pubmat/articles/view_doi/10.5565/PUBLMAT_60116_02 | - |
| dc.rights | info:eu-repo/semantics/openAccess | - |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | - |
| dc.source | reponame:CONICET Digital (CONICET) | - |
| dc.source | instname:Consejo Nacional de Investigaciones Científicas y Técnicas | - |
| dc.source | instacron:CONICET | - |
| dc.source.uri | http://hdl.handle.net/11336/19454 | - |
| dc.subject | 1-laplacian | - |
| dc.subject | Mean value | - |
| dc.subject | Least gradient functions | - |
| dc.subject | Matemática Aplicada | - |
| dc.subject | Matemáticas | - |
| dc.subject | CIENCIAS NATURALES Y EXACTAS | - |
| dc.title | A nonlocal 1-Laplacian problem and median values | - |
| dc.type | info:eu-repo/semantics/article | - |
| dc.type | info:eu-repo/semantics/publishedVersion | - |
| dc.type | info:ar-repo/semantics/articulo | - |
| Aparece en las colecciones: | CONICET | |
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