A new rearrangement inequality and its application for L^2-constraint minimizing problems
Analysis of PDEs
2013-12-13 v1
Abstract
We study -constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show -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.
Cite
@article{arxiv.1312.3575,
title = {A new rearrangement inequality and its application for L^2-constraint minimizing problems},
author = {Masataka Shibata},
journal= {arXiv preprint arXiv:1312.3575},
year = {2013}
}