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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1971 Volume 9, Issue 6, Pages 629–638 (Mi mzm7048)

This article is cited in 3 papers

Rearrangements of differentiable functions

V. S. Klimov

South-Russia State Technical University

Abstract: An investigation of properties of rearrangements of functions differentiable in a generalized sense. Lower bounds are obtained for the symmetric norm of the gradient of a function. Analogous relations are established for the simplest functional of the calculus of variations.

UDC: 517.5

Received: 08.06.1970


 English version:
Mathematical Notes, 1971, 9:6, 365–370

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© Steklov Math. Inst. of RAS, 2026