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dc.contributor.author
Manfredi, Juan J.
dc.contributor.author
Parviainen, Mikko
dc.contributor.author
Rossi, Julio Daniel
dc.date.available
2017-05-12T18:32:34Z
dc.date.issued
2010-03
dc.identifier.citation
Manfredi, Juan J.; Parviainen, Mikko; Rossi, Julio Daniel; An asymptotic mean value characterization for p-harmonic functions; American Mathematical Society; Proceedings Of The American Mathematical Society; 138; 3; 3-2010; 881-889
dc.identifier.issn
0002-9939
dc.identifier.uri
http://hdl.handle.net/11336/16396
dc.description.abstract
We characterize p-harmonic functions in terms of an asymptotic mean value property. A p-harmonic function u is a viscosity solution to ∆pu = div(|∇u| p−2∇u) = 0 with 1 < p ≤ ∞ in a domain Ω if and only if the expansion u(x) = α 2 max Bε(x) u + min Bε(x) u + β |Bε(x)| Bε(x) u dy + o(ε2) holds as ε → 0 for x ∈ Ω in a weak sense, which we call the viscosity sense. Here the coefficients α, β are determined by α + β = 1 and α/β = (p − 2)/(N + 2).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Mean Value Properties
dc.subject
P-Laplacian
dc.subject
Infinity Laplacian
dc.subject
Viscosity Solutions
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
An asymptotic mean value characterization for p-harmonic functions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-05-11T20:58:24Z
dc.identifier.eissn
1088-6826
dc.journal.volume
138
dc.journal.number
3
dc.journal.pagination
881-889
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Providence
dc.description.fil
Fil: Manfredi, Juan J.. No especifíca;
dc.description.fil
Fil: Parviainen, Mikko. No especifíca;
dc.description.fil
Fil: Rossi, Julio Daniel. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Proceedings Of The American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/S0002-9939-09-10183-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2010-138-03/S0002-9939-09-10183-1/home.html
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