Artículo
García-Melián, J.; Rossi, J.D.; De Lis, J.C.S. "Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions" (2010) Zeitschrift fur Analysis und ihre Anwendung. 29(4):451-467
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Abstract:
We consider the unique positive solution to the equation Δu = u r in ,where r > 1 and Ω is a smooth bounded domain of ℝN, under one of the boundary conditions u = λ, ∂u/∂ν = λ, ∂u/∂ν = λu or ∂u/∂ν = λu - uq on ∂, Ωq > 1. The main interest is determining the exact layer behavior of this solution near ∂ in terms of the parameter λ as λ → ∞ Our analysis is completed with the study of the same type of problems involving the p-Laplacian operator. © European Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions |
| Autor: | García-Melián, J.; Rossi, J.D.; De Lis, J.C.S. |
| Filiación: | Departamento de Análisis Matemático, Universidad de La Laguna, C/. Astrofísico Francisco Sánchez s/n, 38271-La Laguna, Spain Instituto Universitario de Estudios Avanzados (IUdEA) en Física At'omica, Facultad de Física, Universidad de La Laguna, C/. Astrofísico Francisco Sánchez s/n, 38203-La Laguna, Spain Departamento deMatemática, FCEyN UBA, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina |
| Palabras clave: | Boundary layers; Dependence on parameters; Elliptic equations |
| Año: | 2010 |
| Volumen: | 29 |
| Número: | 4 |
| Página de inicio: | 451 |
| Página de fin: | 467 |
| DOI: | http://dx.doi.org/10.4171/ZAA/1418 |
| Título revista: | Zeitschrift fur Analysis und ihre Anwendung |
| Título revista abreviado: | Z. Anal. Anwend. |
| ISSN: | 02322064 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02322064_v29_n4_p451_GarciaMelian |
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Citas:
---------- APA ----------
García-Melián, J., Rossi, J.D. & De Lis, J.C.S. (2010) . Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions. Zeitschrift fur Analysis und ihre Anwendung, 29(4), 451-467.http://dx.doi.org/10.4171/ZAA/1418
---------- CHICAGO ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. "Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions" . Zeitschrift fur Analysis und ihre Anwendung 29, no. 4 (2010) : 451-467.http://dx.doi.org/10.4171/ZAA/1418
---------- MLA ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. "Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions" . Zeitschrift fur Analysis und ihre Anwendung, vol. 29, no. 4, 2010, pp. 451-467.http://dx.doi.org/10.4171/ZAA/1418
---------- VANCOUVER ----------
García-Melián, J., Rossi, J.D., De Lis, J.C.S. Layer profiles of solutions to elliptic problems under parameter-dependent boundary conditions. Z. Anal. Anwend. 2010;29(4):451-467.http://dx.doi.org/10.4171/ZAA/1418
