Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors
We prove a local version of weighted Caccioppoli-type inequality, then we prove a version of weighted Poincaré-type inequality for A-harmonic tensors both locally and globally.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202107046 |
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| _version_ | 1832553408653950976 |
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| author | Bing Liu |
| author_facet | Bing Liu |
| author_sort | Bing Liu |
| collection | DOAJ |
| description | We prove a local version of weighted Caccioppoli-type inequality,
then we prove a version of weighted Poincaré-type inequality
for A-harmonic tensors both locally and globally. |
| format | Article |
| id | doaj-art-84023f2ee58a45078c2ccce0d0c7f73f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-84023f2ee58a45078c2ccce0d0c7f73f2025-02-03T05:54:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0131211512210.1155/S0161171202107046Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensorsBing Liu0Department of Mathematical Sciences, Saginaw Valley State University, University Center, 48710, MI, USAWe prove a local version of weighted Caccioppoli-type inequality, then we prove a version of weighted Poincaré-type inequality for A-harmonic tensors both locally and globally.http://dx.doi.org/10.1155/S0161171202107046 |
| spellingShingle | Bing Liu Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors International Journal of Mathematics and Mathematical Sciences |
| title | Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors |
| title_full | Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors |
| title_fullStr | Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors |
| title_full_unstemmed | Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors |
| title_short | Ar (λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors |
| title_sort | ar λ weighted caccioppoli type and poincare type inequalities for a harmonic tensors |
| url | http://dx.doi.org/10.1155/S0161171202107046 |
| work_keys_str_mv | AT bingliu arlweightedcaccioppolitypeandpoincaretypeinequalitiesforaharmonictensors |