Asymptotic Analysis of the Radial Minimizers of an Energy Functional

摘要

The author proves the W~(1,p) convergence of the radial minimizers u_ε = (u_(ε1), u_(ε2), u_(ε3)) of an energy functional as ε → 0, and the zeros of u_(ε1) ~2 + u_(ε2)~2 are located roughly. In addition, the estimates of the convergent rate of u_(ε3)~2 are presented.