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dc.contributor.author
Acosta Rodriguez, Gabriel
dc.contributor.author
Cejas, María Eugenia
dc.contributor.author
Duran, Ricardo Guillermo
dc.date.available
2018-08-14T19:05:36Z
dc.date.issued
2017-02
dc.identifier.citation
Acosta Rodriguez, Gabriel; Cejas, María Eugenia; Duran, Ricardo Guillermo; Improved Poincaré inequalities and solutions of the divergence in weighted norms; Suomalainen Tiedeakatemia; Annales Academiae Scientiarum Fennicae. Mathematica; 42; 2-2017; 211-226
dc.identifier.issn
1239-629X
dc.identifier.uri
http://hdl.handle.net/11336/55465
dc.description.abstract
The improved Poincaré inequality ||φ-φΩ||Lp(Ω)≤C||d∇φ||Lp(Ω) Where Ω ⊂ Rn is a bounded domain and d(x) is the distance from x to the boundary of Ω, has many applications. In particular, it can be used to obtain a decomposition of functions with vanishing integral into a sum of locally supported functions with the same property. Consequently, it can be used to go from local to global results, i.e., to extend to very general bounded domains results which are known for cubes. For example, this methodology can be used to prove the existence of solutions of the divergence in Sobolev spaces. The goal of this paper is to analyze the generalization of these results to the case of weighted norms. When the weight is in Ap the arguments used in the un-weighted case can be extended without great difficulty. However, we will show that the improved Poincaré inequality, as well as its above mentioned applications, can be extended to a more general class of weights.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Suomalainen Tiedeakatemia
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Divergence Operator
dc.subject
PoincarÉ Inequalities
dc.subject
Weights
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Improved Poincaré inequalities and solutions of the divergence in weighted norms
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T13:58:10Z
dc.identifier.eissn
1798-2383
dc.journal.volume
42
dc.journal.pagination
211-226
dc.journal.pais
Finlandia
dc.journal.ciudad
Helsinki
dc.description.fil
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.description.fil
Fil: Cejas, María Eugenia. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Duran, Ricardo Guillermo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.journal.title
Annales Academiae Scientiarum Fennicae. Mathematica
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.5186/aasfm.2017.4212
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.acadsci.fi/mathematica/Vol42/AcostaCejasDuran.html


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