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A quantitative characterisation of functions with low Aviles Giga energy on convex domains

A quantitative characterisation of functions with low Aviles Giga energy on convex domains

Given a connected Lipschitz domain we let 3() be the set of functions in W 2,2 () with u = 0 on @ and whose gradient (in the sense of trace) satisfies ru(x) • ⌘ x = 1, where ⌘ x is the inward pointing unit normal to @ at …