Introduction to some conjectures for spectral minimal partitions
Given a bounded open set Ω in Rn (or in a Riemannian manifold) and a partition of Ω by k open sets Dj, we consider the quantity maxjλ(Dj) where λ(Dj) is the ground state energy of the Dirichlet realization of the Laplacian in Dj. If we denote by Lk(Ω) the infimum over all the k-partitions of maxjλ(D...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-04-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X1100006X |