 Solution

ID: past-exam-of-the-calculus-of-variations-course-of-the-university-of-oxford/2009/1/b/i/solution

An admissible

\overset{u}{ˉ}

I (\overset{u}{ˉ}) \leq I (v) for every v \in A .

In particular it attains the infimum; no closeness condition on competing admissible functions is imposed.

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