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- P Ebenfelt, D Khavinson, H S Shapiro
- 2008

- D Danielli, N Garofalo, D M Nhieu, Pauls, Salah Baouendi, Dima Khavinson +2 others
- 2006

One of the most celebrated problems in geometry and calculus of variations is the Bernstein problem, which asserts that a C 2 minimal graph in R 3 must necessarily be an affine plane. Following an old tradition, here minimal means of vanishing mean curvature. Bernstein [Be] established this property in 1915. Almost fifty years later a new insight of Fleming… (More)

- P Ebenfelt, D Khavinson, H S Shapiro
- 2004

- M Agranovsky, D Khavinson, H S Shapiro
- 2009

In 1934 H. Malmheden [15] discovered an elegant geometric algorithm for solving the Dirichlet problem in a ball. Although his result was rediscovered independently by Duffin [7] 23 years later, it still does not seem to be widely known. In this paper we return to Malmheden's theorem, give an alternative proof of the result that allows generalization to… (More)

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