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arXiv:1312.3575 [math.AP]AbstractReferencesReviewsResources

A new rearrangement inequality and its application for L^2-constraint minimizing problems

Masataka Shibata

Published 2013-12-12Version 1

We study $L^2$-constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show $H^1$-precompactness of any minimizing sequences. Some strict inequality for the new rearrangement is obtained. It is a key to exclude the dichotomy of minimizing sequences.

Categories: math.AP
Subjects: 35Q55, 35J20
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