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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
dc.conicet.fuente individual


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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)