Extension of Díaz-Saá's inequality in RN and application to a system of p-Laplacian.

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 -