P-GL型泛函极小元零点的注记

Remarks on the Zeroes for the Minimizer of a P-GL type Functional

对于来源于力学和材料学中的椭圆型偏微分方程模型的P-GL能量泛函,给出了当p∈(1,2)时,能量泛函极小元uε的零点位置,同时,应用一致估计和能量估计方法,建立了关于极小元uε的一个积分不等式,得到了极小元uε零点测度的一个收敛结果。

The remarks are concerned about the zeroes for a minimizer uε of the P-GL(Ginzburg–Landau) type energy functional which is related to the model of the elliptic partial differential equation in some areas of mechanics and materials science.The location of zeroes is given as P∈(1,2).Moreover,by the uniform estimation and the energy estimation,the integral inequality of uε is given.Based on the result,a convergence of the measure for the zeros is studied.