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arxiv: 1210.8168 · v2 · pith:YOCO6NFOnew · submitted 2012-10-30 · 🧮 math.AP

Fine properties of the subdifferential for a class of one-homogeneous functionals

classification 🧮 math.AP
keywords functionalsone-homogeneouspointssubdifferentialanisotropiccalibratedcalibratingclass
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We collect here some known results on the subdifferential of one-homogeneous functionals, which are anisotropic and nonhomogeneous variants of the total variation and establish a new relationship between Lebesgue points of the calibrating field and regular points of the level lines of the corresponding calibrated function.

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