Glasnik matematički, Vol. 34 No. 1, 1999.
Original scientific paper
Lifting a circular membrane by unitary forces
Lucio R. Berrone
Abstract
Let Ω be a convex membrane. We lift certain parts Γ of its boundary by means of unitary forces while the remaining parts are maintained at level 0. Call u[Γ] the position that the such lifted membrane assumes. When the parts Γ are varying on ∂Ω so that their total lenght C is preserved, it has been conjectured that the functional Γ ||u(Γ)||p attain its maximum value for a certain conected arc of lenght C. In this paper we present a proof of this conjecture for the case in which Ω is a circle and p = 1.
Keywords
Hrčak ID:
6396
URI
Publication date:
1.6.1999.
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