Abstract
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.
Citation
Antônio Luiz Pereira. Marcone Corrêa Pereira. "A generic property for the eigenfunctions of the Laplacian." Topol. Methods Nonlinear Anal. 20 (2) 283 - 313, 2002.
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