Abstract:
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 -Δ pu = F u(x,u,v), -Δ qv = F v(x,u,v), under conditions involving the first and the second eigenvalues. Copyright © 2002 Hindawi Publishing Corporation.
Registro:
| Documento: |
Artículo
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| Título: | Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems |
| Autor: | De Napoli, P.L.; Mariani, M.C. |
| Filiación: | Departamento De Matemática, Facultad De Ciencias Exactas Y Naturales, Universidad De Buenos Aires, Ciudad Universitaria, PABELLÓN I, (1428) Buenos Aires, Argentina
Departamento De Matemática, Facultad De Ciencias Exactas Y Naturales, Universidad De Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina
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| Año: | 2002
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| Volumen: | 7
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| Número: | 3
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| Página de inicio: | 155
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| Página de fin: | 167
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| DOI: |
http://dx.doi.org/10.1155/S1085337502000829 |
| Título revista: | Abstract and Applied Analysis
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| Título revista abreviado: | Abstr. Appl. Anal.
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| ISSN: | 10853375
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| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10853375_v7_n3_p155_DeNapoli.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10853375_v7_n3_p155_DeNapoli |
Referencias:
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Citas:
---------- APA ----------
De Napoli, P.L. & Mariani, M.C.
(2002)
. Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems. Abstract and Applied Analysis, 7(3), 155-167.
http://dx.doi.org/10.1155/S1085337502000829---------- CHICAGO ----------
De Napoli, P.L., Mariani, M.C.
"Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems"
. Abstract and Applied Analysis 7, no. 3
(2002) : 155-167.
http://dx.doi.org/10.1155/S1085337502000829---------- MLA ----------
De Napoli, P.L., Mariani, M.C.
"Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems"
. Abstract and Applied Analysis, vol. 7, no. 3, 2002, pp. 155-167.
http://dx.doi.org/10.1155/S1085337502000829---------- VANCOUVER ----------
De Napoli, P.L., Mariani, M.C. Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems. Abstr. Appl. Anal. 2002;7(3):155-167.
http://dx.doi.org/10.1155/S1085337502000829