The Steiner rearrangement in any codimension
classification
🧮 math.AP
keywords
steinercodimensionfunctionsrearrangementanalyzeassumptionsattainingclass
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We analyze the Steiner rearrangement in any codimension of Sobolev and $BV$ functions. In particular, we prove a P\'olya-Szeg\H{o} inequality for a large class of convex integrals. Then, we give minimal assumptions under which functions attaining equality are necessarily Steiner symmetric.
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