Eigenvalues of an Operator Homogeneous at the Infinity

In this paper, we show the existence of a sequences of eigenvalues for an operator homogenous at the infinity, we give his variational formulation and we establish the simplicity of all eigenvalues in the case N = 1. Finally we study thesolvability of the problemA(u) := −div(A(x,∇u)) = f(x, u) + h in...

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Bibliographic Details
Main Authors: Mohammed Filali, Belhadj Karim, Omar Chakrone, Aomar Anane
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2010-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/10815/5837