四、六维的Lin-Ni猜想

On Lin-Ni's conjecture in dimensions four and six

本文对于四、六维任意区域的Lin-Ni猜想给出一个非常数解的反例,这里对于区域的对称性、几何以及拓扑性质不作任何假定.

We give negative answers to Lin-Ni5s conjecture for any four and six dimensional domains.No condition on the symmetry,geometry and topology of the domain is needed.