Yu.A. Klokov
On extremals of some functionals in a plane
Extremals of the functional
$$
I(l)=\int_{0}^{1}[p(x,y)x'^{2}+q(x,y)y'^{2}]^{\frac{1}{2}}dt
$$
with the boundary conditions $x(0)=y(0)=0\quad x(1)=A,\quad
y(1)=B$ are studied.
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