The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity
In this article we study an elliptic problem with degenerate coercivity. We will show that the presence of some lower order terms has a regularizing effect on the solutions, if we assume that the datum f ∈ L^m(Ω) for some m ≥ 1.
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2007-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/visualizza-volume.cgi?anno=2007&volume=27&issue=3-4 |
| _version_ | 1811332455150387200 |
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| author | Gisella Croce |
| author_facet | Gisella Croce |
| author_sort | Gisella Croce |
| collection | DOAJ |
| description | In this article we study an elliptic problem with degenerate coercivity.
We will show that the presence of some lower order terms has a regularizing effect on
the solutions, if we assume that the datum f ∈ L^m(Ω) for some m ≥ 1. |
| first_indexed | 2024-04-13T16:36:17Z |
| format | Article |
| id | doaj.art-913bebbe05b04415a93c6e8a85844f94 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-04-13T16:36:17Z |
| publishDate | 2007-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-913bebbe05b04415a93c6e8a85844f942022-12-22T02:39:24ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502007-01-01273-4299314The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivityGisella Croce0Université du HavreIn this article we study an elliptic problem with degenerate coercivity. We will show that the presence of some lower order terms has a regularizing effect on the solutions, if we assume that the datum f ∈ L^m(Ω) for some m ≥ 1.https://www1.mat.uniroma1.it/ricerca/rendiconti/visualizza-volume.cgi?anno=2007&volume=27&issue=3-4nonlinear elliptic problemboundary value problemirregular datadegenerate ellipticitydistributional solution |
| spellingShingle | Gisella Croce The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity Rendiconti di Matematica e delle Sue Applicazioni nonlinear elliptic problem boundary value problem irregular data degenerate ellipticity distributional solution |
| title | The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| title_full | The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| title_fullStr | The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| title_full_unstemmed | The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| title_short | The regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| title_sort | regularizing effects of some lower order terms in an elliptic equation with degenerate coercivity |
| topic | nonlinear elliptic problem boundary value problem irregular data degenerate ellipticity distributional solution |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/visualizza-volume.cgi?anno=2007&volume=27&issue=3-4 |
| work_keys_str_mv | AT gisellacroce theregularizingeffectsofsomelowerordertermsinanellipticequationwithdegeneratecoercivity AT gisellacroce regularizingeffectsofsomelowerordertermsinanellipticequationwithdegeneratecoercivity |