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Orthocentric Simplices as the True Generalizations of Triangles

✍ Scribed by Hajja, Mowaffaq; Martini, Horst


Book ID
120344752
Publisher
Springer-Verlag
Year
2013
Tongue
English
Weight
973 KB
Volume
35
Category
Article
ISSN
0343-6993

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πŸ“œ SIMILAR VOLUMES


Generic simplicity of the eigenvalues fo
✍ Marcone C. Pereira πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 288 KB

In this work, we show that the eigenvalues of the problem \[ \begin{cases}\left(\Delta^{2}+V(x)+\lambda\right) u(x)=0 & x \in \Omega \\ u(x)=\Delta u(x)=0 & x \in \partial \Omega\end{cases} \] are generically simple in the set of \(\mathcal{C}^{4}\) regular regions of \(\mathbb{R}^{n}, n \geq 2\).