\documentclass[10pt]{article}


%opening
\title{m6760 Continuum mechanics. Fall 2014}
\author{HW 2 }

\begin{document}

\maketitle
\begin{enumerate}
 \item Problems from the TME (Tadmor, Miller, Elliott) book: 3.7, 3,9, 3.12.
 \item Derive the 3d compatibility conditions for small strains, using Fourier Transform method. (It is enough to obtain one of the conditions in one of the two groups)
 \item Find Euler-Lagrange equation for the energy
$$ \Pi=\min_{w(x)} \int_\Omega \left(\rho(x) (\nabla w)^2 + \beta(x) w^2 \right) dx
$$
where $\Omega$ is a bounded domain in $R_3$, $w(x)$ is a minimizer. $\rho(x)>0$ and $\beta(x)$ are two given continuous functions. 


\end{enumerate}


\end{document}
