Open AccessRole of weight functions in the study of a Dirichlet problem concerning the Laplace problem with parameter spectral and non-homogeneous in a cone
Author(s) -
Hamrouni Ahmed,
Said Mohammed Saïd
Publication year - 2017
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v6i2.7512
Subject(s) - mathematics , cone (formal languages) , laplace transform , laplace operator , homogeneous , dirichlet problem , space (punctuation) , mathematical analysis , operator (biology) , function (biology) , work (physics) , elliptic boundary value problem , boundary value problem , combinatorics , free boundary problem , algorithm , mechanical engineering , linguistics , philosophy , chemistry , repressor , evolutionary biology , biology , transcription factor , engineering , gene , biochemistry
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.