Methods and Applications of Analysis

Volume 10 (2003)

Number 1

Asymptotic Analysis of the Radial Minimizers of an Energy Functional

Pages: 67 – 80

DOI: https://dx.doi.org/10.4310/MAA.2003.v10.n1.a4

Author

Yutian Lei

Abstract

The author proves the W^i,p convergence of the radial minimizers u_E = (u_E1, u_E2, u_E3) of an energy function as EPSILON goes to 0, and the zeros of the u_E1 ² + u_E2² are located roughly. In addition, the estimates of the convergent rate of u_E3 ² are presented.

Published 1 January 2003