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arXiv · 1303.3293

Spectrum of the Laplacian on radial graphs

Rodrigo Bezerra de Matos·Jose Fabio B. Montenegro
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Abstract

We prove that if $M$ is a complete hypersurface in $\mathbb{R}^{n+1}$ which is graph of a real radial function, then the spectrum of the Laplace operator on M is the interval $[0,\infty)$.

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Rodrigo Bezerra de Matos, Jose Fabio B. Montenegro. 2013-03-13. Spectrum of the Laplacian on radial graphs. https://doi.org/10.2140/involve.2017.10.677

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