%0 Journal Article %T A replacement lemma for obtaining pointwise estimates in phase transition models %A Nicholas D. Alikakos %A Giorgio Fusco %J Mathematics %D 2010 %I arXiv %X We establish a replacement lemma for a variational problem, which is not based on a local argument. We then apply it to a phase transition problem and obtain pointwise estimates. %U http://arxiv.org/abs/1010.5455v1