Capillary surfaces arising in singular perturbation problems

@article{Karakhanyan2017CapillarySA,
  title={Capillary surfaces arising in singular perturbation problems},
  author={Aram L. Karakhanyan},
  journal={Analysis \& PDE},
  year={2017}
}
In this paper we prove Bernstein type theorems for a class of stationary points of the Alt-Caffarelli functional in $\mathbb R^2$ and $\mathbb R^3$. 
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