A SURVEY OF AZIMUTHAL ANGLE AND EIGENVALUES OF THE LAPLACE EQUATION Academic Article uri icon

abstract

  • In this work we show that the eigenvalues of the Laplacian with homogeneous Neumann B.C. cannot be positive and we solve the Dirichlet
    BVP for the Laplace equation ∆u = 0 in the region between two concentric spheres (r1 = 1 and r2 = 2). Finally, we show the simplifications
    in the solution if Dirichlet boundary data are independent of the Azimuthal angle.

publication date

  • 2018

start page

  • 4793

end page

  • 4799

volume

  • 11

issue

  • 95