Artículo
Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
Autor/es | Casado Díaz, Juan |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 1997-05 |
Fecha de depósito | 2022-11-10 |
Publicado en |
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Resumen | In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. ... In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. We show that a new term, which does not depend on the gradient, but which is nonlinear, appears in the limit problem. We also give a corrector result. |
Cita | Casado Díaz, J. (1997). Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains. Journal de Mathématiques Pures et Appliquées, 76 (5), 431-476. https://doi.org/10.1016/S0021-7824(97)89958-8. |
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