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- W2130898051 abstract "Let B 1 be a ball of radius R 1 in R N with centre at the origin and let B 0 be a smaller ball of radius R 0 contained inside it. Let u be the solution of the problem −Δ u = 1 in B 1 B 0 vanishing on the boundary. It is shown that is minimal if and only if the balls are concentric. It is also shown that the first (Dirichlet) eigenvalue of the Laplacian in B 1 B 0 is maximal if and only if the balls are concentric. Generalizations are indicated." @default.
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- W2130898051 date "2003-06-01" @default.
- W2130898051 modified "2023-10-02" @default.
- W2130898051 title "On two functionals connected to the Laplacian in a class of doubly connected domains" @default.
- W2130898051 doi "https://doi.org/10.1017/s0308210500002560" @default.
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