%0 Journal Article %T Role of weight functions in the study of a Dirichlet problem concerning the Laplace problem with parameter spectral and non-homogeneous in a cone %A Hamrouni Ahmed %A Said Mohammed Sa£żd %J - %D 2017 %R 10.14419/ijamr.v6i2.7512 %X In this work, we study the problem governed by the Laplacian operator perturbed by a spectral parameter and affected by a weight function in a cone. First, the study will be done in a space sector. We will show a theorem that links the study of this problem .This study is it provides original results in a richer functional space, more it covers the classical case. %U https://www.sciencepubco.com/index.php/ijamr/article/view/7512