This is an announcement for the paper "Pointwise symmetrization inequalities for Sobolev functions and applications" by Joaquim Martin and Mario Milman. Abstract: We develop a technique to obtain new symmetrization inequalities that provide a unified framework to study Sobolev inequalities, concentration inequalities and sharp integrability of solutions of elliptic equations Archive classification: math.FA math.AP The source file(s), martin-milman-symm.tex: 205567 bytes, is(are) stored in gzipped form as 0908.1751.gz with size 53kb. The corresponding postcript file has gzipped size 289kb. Submitted from: mario.milman@gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0908.1751 or http://arXiv.org/abs/0908.1751 or by email in unzipped form by transmitting an empty message with subject line uget 0908.1751 or in gzipped form by using subject line get 0908.1751 to: math@arXiv.org.