| Yu. Klokov. On some boundary value problem of the calculus of variations. |
| Boundary value problems related to the functional $$ I(l)=\int_{0}^{1}(x'^{2}+y'^{2}+z'^{2})^{\frac{1}{2}}\exp (-\varphi(x,y,z))dt, $$ where $\varphi\in C^{1}(R^{3}),$ are investigated. |