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# Show function satisfies lipschitz condition

Now, if we assume that f satisfies a Lipschitz condition, an alternative classical method of approximation is the method of successive approximations. Specifically, let f ∈ C ( D ) and let S be the rectangle in D centered at (τ, ξ) shown in Fig. 5 and let c be defined as in Fig. 5.

Band 0, Heft 0 der Zeitschrift Advances in Calculus of Variations wurde im 2022 veröffentlicht.

It is, however, unknown to us whether any such examples can occur as a fiber of a monotone W^ {1,n} -map of finite distortion f, and if yes, what restrictions this would place on the degree of integrability of K_f. Similarly to Theorem 1.3, the map h of Theorem 1.2 shows that Corollary 1.4 is sharp when n = 3.

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