In this paper, we consider a large class of Bernoulli-type free boundary problems with mixed periodic-Dirichlet boundary conditions. We show that solutions with non-flat profile can be found variationally as global minimizers of the classical Alt–Caffarelli energy functional.

中文翻译：

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关于伯努利自由边界问题的非平坦轮廓的存在

在本文中，我们考虑了一大类具有混合周期性-狄利克雷边界条件的伯努利型自由边界问题。我们表明，具有非平坦轮廓的解决方案可以作为经典 Alt-Caffarelli 能量泛函的全局最小值而变化。