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ID: past-exam-of-the-partial-differential-equations-for-pure-and-applied-mathematicians-and-calculus-of-variations-course-of-the-university-of-oxford/2008/b/6/a/ii/solution

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Past exam of the partial differential equations for pure and applied mathematicians and calculus of variations course of the University of Oxford / 2008 / B / 6 / a / ii / Solution by

Codex  0 2026-10-31

A strong local minimizer of a variational integral obeys the same inequality for all admissible

v

with

∥ v - \overset{u}{ˉ} ∥_{\infty} < ρ

. The derivative of a competitor need not be close in this definition.

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