Sobolev-Poincaré inequalities for differential forms and currents
In this note we collect some results in R^n about (p,q) Poincaré and Sobolev inequalities for differential forms obtained in a joint research with Franchi and Pansu. In particular, we focus to the case p=1. From the geometric point of view, Poincaré and Sobolev inequalities for differential forms pr...
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| Format: | Article |
| Language: | English |
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University of Bologna
2019-12-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | https://mathematicalanalysis.unibo.it/article/view/10361 |
| _version_ | 1819079387953233920 |
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| author | Annalisa Baldi |
| author_facet | Annalisa Baldi |
| author_sort | Annalisa Baldi |
| collection | DOAJ |
| description | In this note we collect some results in R^n about (p,q) Poincaré and Sobolev inequalities for differential forms obtained in a joint research with Franchi and Pansu. In particular, we focus to the case p=1. From the geometric point of view, Poincaré and Sobolev inequalities for differential forms provide a quantitative formulation of the vanishing of the cohomology. As an application of the results obtained in the case p=1 we obtain Poincaré and Sobolev inequalities for Euclidean currents. |
| first_indexed | 2024-12-21T19:28:11Z |
| format | Article |
| id | doaj.art-fa1689999510477bb91a0b98023fe7b7 |
| institution | Directory Open Access Journal |
| issn | 2240-2829 |
| language | English |
| last_indexed | 2024-12-21T19:28:11Z |
| publishDate | 2019-12-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj.art-fa1689999510477bb91a0b98023fe7b72022-12-21T18:52:46ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292019-12-01101142710.6092/issn.2240-2829/103618785Sobolev-Poincaré inequalities for differential forms and currentsAnnalisa Baldi0Dipartimento di Matematica, Università di BolognaIn this note we collect some results in R^n about (p,q) Poincaré and Sobolev inequalities for differential forms obtained in a joint research with Franchi and Pansu. In particular, we focus to the case p=1. From the geometric point of view, Poincaré and Sobolev inequalities for differential forms provide a quantitative formulation of the vanishing of the cohomology. As an application of the results obtained in the case p=1 we obtain Poincaré and Sobolev inequalities for Euclidean currents.https://mathematicalanalysis.unibo.it/article/view/10361differential formssobolev-poincaré inequalitieshomotopy formulacurrents |
| spellingShingle | Annalisa Baldi Sobolev-Poincaré inequalities for differential forms and currents Bruno Pini Mathematical Analysis Seminar differential forms sobolev-poincaré inequalities homotopy formula currents |
| title | Sobolev-Poincaré inequalities for differential forms and currents |
| title_full | Sobolev-Poincaré inequalities for differential forms and currents |
| title_fullStr | Sobolev-Poincaré inequalities for differential forms and currents |
| title_full_unstemmed | Sobolev-Poincaré inequalities for differential forms and currents |
| title_short | Sobolev-Poincaré inequalities for differential forms and currents |
| title_sort | sobolev poincare inequalities for differential forms and currents |
| topic | differential forms sobolev-poincaré inequalities homotopy formula currents |
| url | https://mathematicalanalysis.unibo.it/article/view/10361 |
| work_keys_str_mv | AT annalisabaldi sobolevpoincareinequalitiesfordifferentialformsandcurrents |