Glasnik matematički, Vol. 34 No. 1, 1999.
Izvorni znanstveni članak
Lifting a circular membrane by unitary forces
Lucio R. Berrone
Sažetak
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.
Ključne riječi
Hrčak ID:
6396
URI
Datum izdavanja:
1.6.1999.
Posjeta: 578 *