top
The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation.
Chaïb, Karim. "Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.." Publicacions Matemàtiques 46.2 (2002): 473-488. <http://eudml.org/doc/41462>.
@article{Chaïb2002, abstract = {The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation.}, author = {Chaïb, Karim}, journal = {Publicacions Matemàtiques}, keywords = {Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Operador laplaciano; Desigualdades; Dominios no acotados; -Laplacian; Díaz-Saá’s inequality; Picone's identity; Egorov's theorem}, language = {eng}, number = {2}, pages = {473-488}, title = {Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.}, url = {http://eudml.org/doc/41462}, volume = {46}, year = {2002}, }
TY - JOUR AU - Chaïb, Karim TI - Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian. JO - Publicacions Matemàtiques PY - 2002 VL - 46 IS - 2 SP - 473 EP - 488 AB - The purpose of this paper is to extend the Díaz-Saá’s inequality for the unbounded domains as RN.The proof is based on the Picone’s identity which is very useful in problems involving p-Laplacian. In a second part, we study some properties of the first eigenvalue for a system of p-Laplacian. We use Díaz-Saá’s inequality to prove uniqueness and Egorov’s theorem for the isolation. These results generalize J. Fleckinger, R. F. Manásevich, N. M. Stavrakakis and F. de Thélin’s work [9] for the first property and A. Anane’s one for the isolation. LA - eng KW - Ecuaciones diferenciales elípticas; Problemas de valor de frontera; Operador laplaciano; Desigualdades; Dominios no acotados; -Laplacian; Díaz-Saá’s inequality; Picone's identity; Egorov's theorem UR - http://eudml.org/doc/41462 ER -