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On polygonal domains with trigonometric eigenfunctions of the Laplacian under Dirichlet or Neumann boundary conditions
polygonal domains trigonometric eigenfunctions
2010/9/14
A classification of all polygonal domains possessing a complete set of trigonometric eigenfunctions of the Laplacian under either Dirichlet or Neumann boundary conditions is developed. Polygonal domai...
On Eigenvalue Intervals and Eigenfunctions of Nonresonance Singular Dirichlet Boundary Value Problems
eigenvalue intervals eigenfunctions fixed points
2007/12/11
0 is a constant. Intervals of 5 are determined to ensure the existence of a nonnegative solution of the boundary value problem. For λ=1, we shall also offer criteria for the existence of eigenfunction...