Strictly convex Wulff shapes and 𝐶¹ convex integrands

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<p>In this paper, it is shown that a Wulff shape is strictly convex if and only if its convex integrand is of class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript 1"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding="application/x-tex">C^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Moreover, applications of this result are given.</p>

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