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Jul 31, 2012 at 18:18 comment added user7807 @Deane Yang, yes, though that didn't get me too far, at least at first sight.
Jul 28, 2012 at 14:53 comment added Deane Yang Have you tried computing the Euler-Lagrange equation for each functional and comparing them?
Jul 28, 2012 at 10:54 answer added dcs24 timeline score: 2
Jul 19, 2012 at 12:28 comment added user7807 Sorry for the delayed response, but could you explain this further?
Jul 11, 2012 at 16:00 comment added Niels J. Diepeveen I have only looked at the single-variable case, but combining the Euler equations for both problems seems to lead to the conclusion $dL/dx = 0$, in other words $L$ must be constant on any common extremal. In that case of course $\tilde{A}\int_\Omega dx = A^2$.
Jul 10, 2012 at 18:34 history edited user7807
I just changed the tags
Jul 10, 2012 at 16:58 history asked user7807 CC BY-SA 3.0