Artículo
Martínez-Aparicio, P.J.; Pérez-Llanos, M.; Rossi, J.D. "The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian" (2013) Revista Matematica Complutense:1-18
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Abstract:
In this paper we study asymptotics as {Mathematical expression} of the Dirichlet eigenvalue problem for the {Mathematical expression}-homogeneous {Mathematical expression}-Laplacian, that is, {Mathematical expression}Here {Mathematical expression} is a bounded starshaped domain in {Mathematical expression} and {Mathematical expression}. There exists a principal eigenvalue {Mathematical expression}, which is positive, and has associated a non-negative nontrivial eigenfunction. Moreover, we show that {Mathematical expression}, where {Mathematical expression} is the first eigenvalue corresponding to the {Mathematical expression}-homogeneous infinity Laplacian, that is, {Mathematical expression}. © 2013 Universidad Complutense de Madrid.
Registro:
| Documento: | Artículo |
| Título: | The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian |
| Autor: | Martínez-Aparicio, P.J.; Pérez-Llanos, M.; Rossi, J.D. |
| Filiación: | Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Murcia, 30202, Spain Departamento de Matemáticas, Universidad Autonoma de Madrid, Campus de Cantoblanco, Madrid, 28049, Spain Departamento de Análisis Matemático, Universidad de Alicante, Ap. correos 99, Alicante, 03080, Spain Departamento de Matemática, FCEyN, UBA, Ciudad Universitaria, Pab 1 (1428), Buenos Aires, Argentina |
| Idioma: | Inglés |
| Palabras clave: | Infinity Laplacian; {Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian |
| Año: | 2013 |
| Página de inicio: | 1 |
| Página de fin: | 18 |
| DOI: | http://dx.doi.org/10.1007/s13163-013-0124-4 |
| Título revista: | Revista Matematica Complutense |
| Título revista abreviado: | Rev. Mat. Complutense |
| ISSN: | 11391138 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11391138_v_n_p1_MartinezAparicio |
Citas:
---------- APA ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M. & Rossi, J.D. (2013) . The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian. Revista Matematica Complutense, 1-18.http://dx.doi.org/10.1007/s13163-013-0124-4
---------- CHICAGO ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. "The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian" . Revista Matematica Complutense (2013) : 1-18.http://dx.doi.org/10.1007/s13163-013-0124-4
---------- MLA ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. "The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian" . Revista Matematica Complutense, 2013, pp. 1-18.http://dx.doi.org/10.1007/s13163-013-0124-4
---------- VANCOUVER ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian. Rev. Mat. Complutense. 2013:1-18.http://dx.doi.org/10.1007/s13163-013-0124-4
