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

 
 
 
  • Abstract
  • Keywords
  • References
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  • 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.

     


  • Keywords


    Cone, Weight Function, Laplacian Operator.

  • 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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Article ID: 7512
 
DOI: 10.14419/ijamr.v6i2.7512




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