A CLASS OF TOTAL COMBINED DISTORTION EXTREMAL PROBLEM BETWEEN RECTANGLES
The new definitions of total combined distortion and combined distortion between rectangles are proposed.The extremal problem of all homomorphic maps between rectangles that keeping vertices respectively in these two types of biases is studied.We use the Euler-Lagrange equation,the area length method and the mean inequality are used to prove and obtain that the affine mapping is the solution of extremal problem,which extends the main results obtained by Tang Ruyue.
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