Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I struggle to compute the Euler-Lagrange equation for the following functional $\int_{\Omega} (\nabla^{s} u) D \nabla^{s} u \mathrm{d}\Omega$, where u is a vector valued function u = (u1 (x,y), u2 (x,y)), $[\nabla^{s}u]_{ij} = 1/2 (u_{i,j} + u_{j,i})$ and $D_{ijkl} = D_{jilk}$. I lack practice with such manipulations: when I try the explicit computation $\int_{\Omega} \frac{1}{2}(u_{i,j}+u_{j,i}) C_{ijkl}(u_{k,l}+u_{l,k})$ things spin out of control rather quickly... thanks

share|improve this question
If my question is not considered only because there is no trace in it of any solving effort, I would be glad to amend it, as there is plenty of effort being thrown at it, it is really important! thank you very much –  Buco Nov 11 '13 at 18:34

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.