Existence of metrics maximizing the first eigenvalue on non-orientable surfaces (Q2078213)
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| Language | Label | Description | Also known as |
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| English | Existence of metrics maximizing the first eigenvalue on non-orientable surfaces |
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Existence of metrics maximizing the first eigenvalue on non-orientable surfaces (English)
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28 February 2022
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Summary: We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap conditions are proved by the authors in [``Sharp asymptotics of the first eigenvalue on some degenerating surfaces'', Preprint, \url{arXiv:1909.02974}].
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Laplace operator
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topological spectrum
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harmonicmap
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minimal surface
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shape optimization
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