Extremal Properties of the First Eigenva
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Lino Notarantonio
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Article
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1998
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Elsevier Science
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English
β 212 KB
Given a separable, locally compact Hausdorff space X and a positive Radon measure m(dx) on it, we study the problem of finding the potential V(x) 0 that maximizes the first eigenvalue of the Schro dinger-type operator L+V(x); L is the generator of a local Dirichlet form (a, D[a]) on L 2 (X, m(dx)).