中文摘要：

R^n中给定一开的有界连通子集Ω和范数日（ζ）,考虑各向异性超定问题-div（H（△↓u）△↓ζH（△↓u））=1,在边界δΩ上满足非常数边界条件：H（△↓u）-2=cx·△↓u和u=0.如果这个各向异性超定问题有弱解,那么Ω具有Wulff形状.

英文摘要：

Given an open bounded connected subset Ω of R^n with a norm H（ζ）, we consider an overdetermined anisotropic problem of -div（H（△↓u）△↓ζH（△↓u））=1 with the the following nonconstant boundary condition：H（△↓u）-2=cx·△↓u and u = 0 on the boundary δΩ. If this overdetermined anisotropic problem admits a solution in a suitable weak sense, then Ω is of the Wulff Shape.