Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems
Analysis of PDEs
2010-02-18 v7
Abstract
We generalize Polya-Szego inequality to integrands depending on and its gradient. Under minimal additional assumptions, we establish equality cases in this generalized inequality. We also give relevant applications of our study to a class of quasi-linear elliptic equations and systems.
Keywords
Cite
@article{arxiv.0903.3975,
title = {Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems},
author = {Hichem Hajaiej and Marco Squassina},
journal= {arXiv preprint arXiv:0903.3975},
year = {2010}
}
Comments
21 pages