Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems

Details Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems Generalized Polya-Szego inequality and applications to some quasi-linear elliptic problems

2009-03-24

arxiv.org/abs/0903.3975v7

Mathematics

Analysis of PDEs

21 pages

Scientific paper

We generalize Polya-Szego inequality to integrands depending on $u$ 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.

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