Anisotropic symmetrization

Van Schaftingen, Jean
(2006) Annales de l’Institut Henri Poincaré - C - Non Linear Analysis — Vol. 23, n° 4, p. 539-565 (2006)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 297.47 KB
Request a copy

Details

Authors
Abstract
The partial anisotropic symmetrization is defined, extending Steiner symmetrization and convex symmetrization. Inequalities of the type of Hardy-Littlewood, Polya-Szego and Klimov are proved for this symmetrization, while it is shown that Riesz-Sobolev rearrangement inequalities are not valid. Applications are given to the proof of isoperimetric inequalities, integral inequalities and existence and symmetry of solutions of variational problems. (C) 2005 Elsevier SAS. All rights reserved.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Van Schaftingen, J. (2006). Anisotropic symmetrization. Annales de l’Institut Henri Poincaré - C - Non Linear Analysis, 23(4), 539-565. https://doi.org/10.1016/j.anihpc.2005.06.001 (Original work published 2006)