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Some relations between pseudo-rearrangement and relative rearrangement. (English) Zbl 1008.28003

The authors compare the notions of relative rearrangement a la Mossino/Temam and pseudo-rearrangement. If \(u\) has no flat zones, these definitions coincide, but in general there are some differences.
[The reviewer wonders why his name is again misspelled].

MSC:

28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
49J52 Nonsmooth analysis
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35J65 Nonlinear boundary value problems for linear elliptic equations
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