 Solution

ID: past-exam-of-the-calculus-of-variations-course-of-the-university-of-oxford/2009/3/a/i/solution

\overset{u}{ˉ}

for which some

ρ > 0

makes

I (v) \geq I (\overset{u}{ˉ})

whenever

v \in A

and

∥ v - \overset{u}{ˉ} ∥_{W^{1, \infty}} < ρ

. Both the function and its derivative are required to be close.

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