Role of weight functions in the study of a Dirichlet problem concerning the Laplace problem with parameter spectral and non-homogeneous in a cone

  • Authors

    • Hamrouni Ahmed University, Echahid Hama Lakhder University, Eloued, Algeria.
    • Said Mohammed Saïd
    2017-05-19
    https://doi.org/10.14419/ijamr.v6i2.7512
  • Cone, Weight Function, Laplacian Operator.

  • Abstract

    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.

     

  • References

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      [3] P. Grisvard, Problème de Dirichlet dans un cône .Ricerche di Matematica, vol. XX, p. 175-192, 1971.

      [4] V. Khoan, Distributions analyse de Fourier operateur aux dérivéespartielles, Vuibert , 1972 .

      [5] J. L. LIONS and E. MAGENES, Problems in Extreme Cases Nonhomogeneous and Applications, Vol. 1, Dunod, 1968.

      [6] V. A. Kondratiev, Boundary value problems for elliptic equations Math, soc 1967.

      [7] Pham The Lai, Problème de Dirichlet dans un cône avec paramètre spectral pour uneclassed’espace de Sobolev a poids, SEDP exp . N_6 p. 1-14, 1979.

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  • How to Cite

    Ahmed, H., & Mohammed Saïd, S. (2017). Role of weight functions in the study of a Dirichlet problem concerning the Laplace problem with parameter spectral and non-homogeneous in a cone. International Journal of Applied Mathematical Research, 6(2), 52-57. https://doi.org/10.14419/ijamr.v6i2.7512

    Received date: 2017-03-27

    Accepted date: 2017-04-24

    Published date: 2017-05-19