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math.FAFeb 3, 2009
44
citations (OpenAlex)
authors
  • Jean Van Schaftingen
institutions
  • UCLouvain
arXiv abstractPDF
paper

Explicit approximation of the symmetric rearrangement by polarizations

arXiv:0902.0637 · doi:10.1007/s00013-009-0018-3

Abstract

We give an explicit sequence of polarizations such that for every measurable function, the sequence of iterated polarizations converge to the symmetric rearrangement of the initial function.

10 pages

Cited by in corpus (11)

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  • Rearrangement and polarization
  • The Pólya-Szegő inequality for smoothing rearrangements
  • Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications
  • Ground states of semilinear elliptic equations
  • Approximation of symmetrizations by Markov processes
  • NLS equation with competing inhomogeneous nonlinearities: ground states, blow-up, and scattering
  • Separable functions: symmetry, monotonicity, and applications
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