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to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz

Isoperimetric inequalities for Lp-norms of the stress function of a multiply connected plane domain

to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz

Isoperimetric inequalities for Lp-norms of the stress function of a multiply connected plane domain

possessing the isoperimetric monotonicity property. For a class of integrals depending on the warping

of u(x, G) with an isoperimetric monotonicity property is constructed. It is proved that Lp- and Lq

of functions u and u -1 are monotone with respect to the parameter p. This monotony also gives isoperimetric

of functions u and u -1 are monotone with respect to the parameter p. This monotony also gives isoperimetric

of u(x, G) with an isoperimetric monotonicity property is constructed. It is proved that Lp- and Lq

possessing the isoperimetric monotonicity property. For a class of integrals depending on the warping

Страница 1 из 123