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

Publicacions Matemàtiques (2002)

- Volume: 46, Issue: 2, page 473-488
- ISSN: 0214-1493

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topChaïb, 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 -

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