%0 Journal Article %T On Lin-Ni's conjecture in dimensions four and six %A Juncheng Wei %A Bing Xu %A Wen Yang %J Mathematics %D 2015 %I arXiv %X We give negative answers to Lin-Ni's conjecture for any four and six dimensional domains. No condition on the symmetry, geometry nor topology of the domain is needed. %U http://arxiv.org/abs/1510.04355v1