Let u(x,G) be the stress function of a multiply connected plane domain G. We construct new domain functionals depending on this stress function which are isoperimetricallymonotone with respect to the free parameter. A ...
Let u(x, G) be a warping function of a multiply connected plane domain G. A new physical functional of u(x, G) with an isoperimetric monotonicity property is constructed. It is proved that Lp- and Lq-norms of the warping ...