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

Abstract

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.

Cited by in corpus (1)

• Existence and orbital stability of standing waves for nonlinear Schrödinger systems