When is the first eigenfunction for the clamped plate equation of fixed sign ? ∗
نویسنده
چکیده
It is known that the first eigenfunction of the clamped plate equation, ∆φ = λφ in Ω with φ = ∂ ∂n φ = 0 on ∂Ω, is not necessarily of fixed sign. In this article, we survey the relations between domains Ω and the sign of that first eigenfunction.
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A Clamped Plate with a Uniform Weight May Change Sign
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