Maximum principle and existence results for elliptic systems on R^N
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative elliptic systems by an approximation method.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-05-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/60/abstr.html |
| _version_ | 1818823322315522048 |
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| author | Liamidi Leadi Aboubacar Marcos |
| author_facet | Liamidi Leadi Aboubacar Marcos |
| author_sort | Liamidi Leadi |
| collection | DOAJ |
| description | In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative elliptic systems by an approximation method. |
| first_indexed | 2024-12-18T23:38:08Z |
| format | Article |
| id | doaj.art-f402f8ccdac14095afd2635b72498481 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-18T23:38:08Z |
| publishDate | 2010-05-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f402f8ccdac14095afd2635b724984812022-12-21T20:47:28ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-05-01201060,113Maximum principle and existence results for elliptic systems on R^NLiamidi LeadiAboubacar MarcosIn this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative elliptic systems by an approximation method.http://ejde.math.txstate.edu/Volumes/2010/60/abstr.htmlPrincipal and nonprincipal eigenvalueselliptic systemsp-Laplacian operatorapproximation method |
| spellingShingle | Liamidi Leadi Aboubacar Marcos Maximum principle and existence results for elliptic systems on R^N Electronic Journal of Differential Equations Principal and nonprincipal eigenvalues elliptic systems p-Laplacian operator approximation method |
| title | Maximum principle and existence results for elliptic systems on R^N |
| title_full | Maximum principle and existence results for elliptic systems on R^N |
| title_fullStr | Maximum principle and existence results for elliptic systems on R^N |
| title_full_unstemmed | Maximum principle and existence results for elliptic systems on R^N |
| title_short | Maximum principle and existence results for elliptic systems on R^N |
| title_sort | maximum principle and existence results for elliptic systems on r n |
| topic | Principal and nonprincipal eigenvalues elliptic systems p-Laplacian operator approximation method |
| url | http://ejde.math.txstate.edu/Volumes/2010/60/abstr.html |
| work_keys_str_mv | AT liamidileadi maximumprincipleandexistenceresultsforellipticsystemsonrn AT aboubacarmarcos maximumprincipleandexistenceresultsforellipticsystemsonrn |