中文摘要：

在Orlicz-Sobolev空间中考察一类自由边界问题极小化子正则性理论.通过建立极小化问题与方程强解问题的等价性,建立二相障碍问题极小化子的存在唯一性及C~（1,α）-正则性.最后建立极小化子在自由边界附近的非退化性.

英文摘要：

The regularity of a minimizer was established for free boundary problems in Orlicz-Sobolev spaces. The uniqueness and C~（1,α）-regularity of the minimizer was obtained by dealing with the equivalence of the minimizer and a strong solution,implying the non-degeneracy of the minimizer near the free boundary.