Weighted Sobolev Spaces and Degenerate Elliptic Equations
In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2008-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
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| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7415/4261 |
| _version_ | 1811259552144818176 |
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| author | Albo Carlos Cavalheiro |
| author_facet | Albo Carlos Cavalheiro |
| author_sort | Albo Carlos Cavalheiro |
| collection | DOAJ |
| description | In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations. |
| first_indexed | 2024-04-12T18:33:20Z |
| format | Article |
| id | doaj.art-be4b3f3bc39c44e8969655d9c333f08d |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-04-12T18:33:20Z |
| publishDate | 2008-11-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-be4b3f3bc39c44e8969655d9c333f08d2022-12-22T03:21:01ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882008-11-01261-2117132Weighted Sobolev Spaces and Degenerate Elliptic EquationsAlbo Carlos CavalheiroIn this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7415/4261Degenerate elliptic equationsweighted Sobolev spaces. |
| spellingShingle | Albo Carlos Cavalheiro Weighted Sobolev Spaces and Degenerate Elliptic Equations Boletim da Sociedade Paranaense de Matemática Degenerate elliptic equations weighted Sobolev spaces. |
| title | Weighted Sobolev Spaces and Degenerate Elliptic Equations |
| title_full | Weighted Sobolev Spaces and Degenerate Elliptic Equations |
| title_fullStr | Weighted Sobolev Spaces and Degenerate Elliptic Equations |
| title_full_unstemmed | Weighted Sobolev Spaces and Degenerate Elliptic Equations |
| title_short | Weighted Sobolev Spaces and Degenerate Elliptic Equations |
| title_sort | weighted sobolev spaces and degenerate elliptic equations |
| topic | Degenerate elliptic equations weighted Sobolev spaces. |
| url | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7415/4261 |
| work_keys_str_mv | AT albocarloscavalheiro weightedsobolevspacesanddegenerateellipticequations |