We consider a torus T, that is, a compact surface with genus 1 and $Omega = D^2 imes S^1$ topologically with $partialOmega = T$, where $D^2$ is the open unit disk and $S^1$ is the unit circle. Let $omega = (x,y)$ denote the generic point on T. For a smooth immersion $u : T o R^3$, we define the Dirichlet functional by $$ E(u) = frac{2}{1} int_{T} $mid$ abla u$mid$^2 domega $$</TEX> and the volume functional by $$ V(u) = frac{3}{1} int_{T} u cdot u_x Lambda u_y domege $$.