Extremal properties of the first eigenvalue of Schrödinger-type operators (Q1270412)
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| Language | Label | Description | Also known as |
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| English | Extremal properties of the first eigenvalue of Schrödinger-type operators |
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Extremal properties of the first eigenvalue of Schrödinger-type operators (English)
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21 October 1998
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The author studies a variational characterization for the first eigenvalue of a Schrödinger problem relative to a strongly local Dirichlet form. Moreover the first eigenvalue has a maximum when the potential \(V\) varies in the set \[ [V\in L^p(X,m): \| V\|_p\leq A], \] and a characterization of the potential that realizes the maximum is given.
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variational characterization for the first eigenvalue
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local Dirichlet form
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