arXiv:0903.3975 Abstract | arXiv Analytics

arXiv:0903.3975 [math.AP]Abstract References Reviews Resources

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

Published 2009-03-24, updated 2010-02-18Version 7

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.

Comments: 21 pages

Categories: math.AP

Subjects: 46E35, 26B25, 26B99

Keywords: quasi-linear elliptic problems, generalized polya-szego inequality, quasi-linear elliptic equations, minimal additional assumptions, relevant applications

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