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Extremal problems on the Hua domain of the first type

✍ Scribed by Jianbing Su; Weiping Yin


Publisher
SP Science China Press
Year
2005
Tongue
English
Weight
170 KB
Volume
48
Category
Article
ISSN
1674-7283

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Extremal Properties of the First Eigenva
✍ Lino Notarantonio πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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)).