i try to show that the Dirichlet energy functional has a minimum subject to the constraint $\|u\|=1$.What do i have to do?
Existence of minimizing function
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$\begingroup$
functional-analysis
calculus-of-variations
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0Wouldn't u(x) = [1 1 1 ... 1] / sqrt(n) satisfy your conditions? The gradient is zero everywhere... – 2012-11-04
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0You are spawning accounts like agent Smith in the second Matrix movie. **Please** consider registering your user. – 2012-11-04