Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system −Δpu=Fu(x, u, v), −Δqv=F v(x, u, v)...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502000829 |
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| _version_ | 1850233256454127616 |
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| author | Pablo L. de Nàpoli M. Cristina Mariani |
| author_facet | Pablo L. de Nàpoli M. Cristina Mariani |
| author_sort | Pablo L. de Nàpoli |
| collection | DOAJ |
| description | This work is devoted to the study of a quasilinear elliptic
system of resonant type. We prove the existence of infinitely
many solutions of a related nonlinear eigenvalue problem.
Applying an abstract minimax theorem, we obtain a solution of the
quasilinear system −Δpu=Fu(x, u, v), −Δqv=F v(x, u, v), under conditions involving the first and the second eigenvalues. |
| format | Article |
| id | doaj-art-0539aaa477fe4ca79e5540c3edd8d9b5 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0539aaa477fe4ca79e5540c3edd8d9b52025-08-20T02:02:58ZengWileyAbstract and Applied Analysis1085-33751687-04092002-01-017315516710.1155/S1085337502000829Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problemsPablo L. de Nàpoli0M. Cristina Mariani1Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires (1428), ArgentinaDepartamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires (1428), ArgentinaThis work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system −Δpu=Fu(x, u, v), −Δqv=F v(x, u, v), under conditions involving the first and the second eigenvalues.http://dx.doi.org/10.1155/S1085337502000829 |
| spellingShingle | Pablo L. de Nàpoli M. Cristina Mariani Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems Abstract and Applied Analysis |
| title | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| title_full | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| title_fullStr | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| title_full_unstemmed | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| title_short | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| title_sort | quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| url | http://dx.doi.org/10.1155/S1085337502000829 |
| work_keys_str_mv | AT pabloldenapoli quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems AT mcristinamariani quasilinearellipticsystemsofresonanttypeandnonlineareigenvalueproblems |