A generic property for the eigenfunctions of the Laplacian
Keywords
Generic properties, boundary value problem, eigenfunctionAbstract
In this work we show that, generically in the set of $\mathcal{C}^2$ bounded regions of $\mathbb R^n$, $n \geq 2$, the inequality $ \int_{\Omega} \phi^3 \neq 0$ holds for any eigenfunction of the Laplacian with either Dirichlet or Neumann boundary conditions.Downloads
Published
2002-12-01
How to Cite
1.
PEREIRA, Antônio Luiz and PEREIRA, Marcone Corrêa. A generic property for the eigenfunctions of the Laplacian. Topological Methods in Nonlinear Analysis. Online. 1 December 2002. Vol. 20, no. 2, pp. 283 - 313. [Accessed 23 April 2024].
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