Let f:U → R2 be a function of class Co in the open U CR2 Define the function J(, y) = det f'(x, y) for all (x,y) EU. Sup
Posted: Tue Sep 07, 2021 7:20 am
Let f:U → R2 be a function of class Co in the open U CR2 Define the function J(, y) = det f'(x, y) for all (x,y) EU. Suppose that DCU is a compact domain whose boundary aD is a closed smooth curve. If f(x, y) = 0 for all read, prove that: S S J(r, y)dxdy = 0.