Artículo
Martínez, S.; Rossi, J.D. "Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance" (2003) Electronic Journal of Differential Equations. 2003:1-14
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Abstract:
We study the existence of weak solutions to the equation Δpu = |u|p-2u + f(x, u) with the nonlinear boundary condition |∇u|p-2∂u/∂v = λ|u|p-2u - h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.
Registro:
| Documento: | Artículo |
| Título: | Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance |
| Autor: | Martínez, S.; Rossi, J.D. |
| Filiación: | Departamento de Matemática, FCEyN, UBA, (1428) Buenos Aires, Argentina Facultad de Matematicas, Universidad Catolica, Casilla 306, Correo 22 Santiago, Chile |
| Palabras clave: | Nonlinear boundary conditions; p-Laplacian; Resonance |
| Año: | 2003 |
| Volumen: | 2003 |
| Página de inicio: | 1 |
| Página de fin: | 14 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10726691_v2003_n_p1_Martinez.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez |
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Citas:
---------- APA ----------
Martínez, S. & Rossi, J.D. (2003) . Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance. Electronic Journal of Differential Equations, 2003, 1-14.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez [ ]
---------- CHICAGO ----------
Martínez, S., Rossi, J.D. "Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance" . Electronic Journal of Differential Equations 2003 (2003) : 1-14.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez [ ]
---------- MLA ----------
Martínez, S., Rossi, J.D. "Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance" . Electronic Journal of Differential Equations, vol. 2003, 2003, pp. 1-14.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez [ ]
---------- VANCOUVER ----------
Martínez, S., Rossi, J.D. Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance. Electron. J. Differ. Equ. 2003;2003:1-14.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2003_n_p1_Martinez [ ]
