A note on the variational structure of an elliptic system involving critical Sobolev exponent
We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions. Also, we generalize the system...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03208032 |
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| _version_ | 1832556501786427392 |
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| author | Mario Zuluaga |
| author_facet | Mario Zuluaga |
| author_sort | Mario Zuluaga |
| collection | DOAJ |
| description | We consider an elliptic system involving critical growth
conditions. We develop a technique of variational methods for
elliptic systems. Using the well-known results of maximum
principle for systems developed by Fleckinger et al. (1995), we
can find positive solutions. Also, we generalize the systems
results obtained (for the scalar case) by Brézis and
Nirenberg (1983). Also, we give applications to biharmonic
equations. |
| format | Article |
| id | doaj-art-cfbb0a9bb0264c259fcb317ea605819c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cfbb0a9bb0264c259fcb317ea605819c2025-02-03T05:45:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003522724110.1155/S1110757X03208032A note on the variational structure of an elliptic system involving critical Sobolev exponentMario Zuluaga0Departamento de Matemáticas, Universidad Nacional de Colombia, Bogota, ColombiaWe consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al. (1995), we can find positive solutions. Also, we generalize the systems results obtained (for the scalar case) by Brézis and Nirenberg (1983). Also, we give applications to biharmonic equations.http://dx.doi.org/10.1155/S1110757X03208032 |
| spellingShingle | Mario Zuluaga A note on the variational structure of an elliptic system involving critical Sobolev exponent Journal of Applied Mathematics |
| title | A note on the variational structure of an elliptic system
involving critical Sobolev exponent |
| title_full | A note on the variational structure of an elliptic system
involving critical Sobolev exponent |
| title_fullStr | A note on the variational structure of an elliptic system
involving critical Sobolev exponent |
| title_full_unstemmed | A note on the variational structure of an elliptic system
involving critical Sobolev exponent |
| title_short | A note on the variational structure of an elliptic system
involving critical Sobolev exponent |
| title_sort | note on the variational structure of an elliptic system involving critical sobolev exponent |
| url | http://dx.doi.org/10.1155/S1110757X03208032 |
| work_keys_str_mv | AT mariozuluaga anoteonthevariationalstructureofanellipticsysteminvolvingcriticalsobolevexponent AT mariozuluaga noteonthevariationalstructureofanellipticsysteminvolvingcriticalsobolevexponent |