Weighted Dirichlet-type inequalities for Steiner symmetrization

Authors
Brock, F
Citation
F. Brock, Weighted Dirichlet-type inequalities for Steiner symmetrization, CALC VAR P, 8(1), 1999, pp. 15-25
Citations number
8
Categorie Soggetti
Mathematics
Journal title
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
09442669 → ACNP
Volume
8
Issue
1
Year of publication
1999
Pages
15 - 25
Database
ISI
SICI code
0944-2669(199901)8:1<15:WDIFSS>2.0.ZU;2-1
Abstract
In this paper weighted Dirichlet-type inequalities for Steiner symmetrizati on are proved. Similar inequalities were known for the so-called starshaped rearrangements. Furthermore it is shown that the Steiner symmetrization is a from W-+(1,1)(R-n) to itself. Mathematics Subject Classification: 26D10, 51M16, 35J20, 35B99.