| Autor: |
Geng, Zhiyuan, Lin, Fanghua |
| Zdroj: |
SCIENCE CHINA Mathematics; Jan2022, Vol. 65 Issue 1, p1-8, 8p |
| Abstrakt: |
In this paper, we study large m asymptotics of the l1 minimal m-partition problem for the Dirichlet eigenvalue. For any smooth domain Ω ⊂ ℝn such that ∣Ω∣ = 1, we prove that the limit l i m m → ∞ l m 1 (Ω) = c 0 exists, and the constant c0 is independent of the shape of Ω. Here, l m 1 (Ω) denotes the minimal value of the normalized sum of the first Laplacian eigenvalues for any m-partition of Ω. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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