Artículo
Martínez-Aparicio, P.J.; Pérez-Llanos, M.; Rossi, J.D. "The sublinear problem for the 1-Homogeneous p-Laplacian" (2014) Proceedings of the American Mathematical Society. 142(8):2641-2648
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Abstract:
In this paper we prove the existence and uniqueness of a positive viscosity solution of the 1-homogeneous p-Laplacian with a sublinear righthand side; that is, -|Du|2-pdiv (|Du|p-2Du) = λuq in Ω, u = 0 on ∂Ω, where Ω is a bounded starshaped domain, λ > 0, p > 2 and 0 < q < 1. © 2014 American Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | The sublinear problem for the 1-Homogeneous p-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, Campus de Cantoblanco, Universidad Autonoma de Madrid, 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 |
| Palabras clave: | 1-homogeneous p-Laplacian; Infinity-Laplacian |
| Año: | 2014 |
| Volumen: | 142 |
| Número: | 8 |
| Página de inicio: | 2641 |
| Página de fin: | 2648 |
| DOI: | http://dx.doi.org/10.1090/S0002-9939-2014-12108-3 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n8_p2641_MartinezAparicio |
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Citas:
---------- APA ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M. & Rossi, J.D. (2014) . The sublinear problem for the 1-Homogeneous p-Laplacian. Proceedings of the American Mathematical Society, 142(8), 2641-2648.http://dx.doi.org/10.1090/S0002-9939-2014-12108-3
---------- CHICAGO ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. "The sublinear problem for the 1-Homogeneous p-Laplacian" . Proceedings of the American Mathematical Society 142, no. 8 (2014) : 2641-2648.http://dx.doi.org/10.1090/S0002-9939-2014-12108-3
---------- MLA ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. "The sublinear problem for the 1-Homogeneous p-Laplacian" . Proceedings of the American Mathematical Society, vol. 142, no. 8, 2014, pp. 2641-2648.http://dx.doi.org/10.1090/S0002-9939-2014-12108-3
---------- VANCOUVER ----------
Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D. The sublinear problem for the 1-Homogeneous p-Laplacian. Proc. Am. Math. Soc. 2014;142(8):2641-2648.http://dx.doi.org/10.1090/S0002-9939-2014-12108-3
