# Mathematician:Jesse Douglas

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## Mathematician

American mathematician best known for his general solution to Plateau's Problem.

### Fields Medal

Jesse Douglas was awarded a Fields Medal in $\text {1936}$ at the International Congress of Mathematicians in Oslo:

*Did important work on the Plateau problem which is concerned with finding minimal surfaces connecting and determined by some fixed boundary.*

## Nationality

American

## History

- Born: 3 July 1897 New York City, New York, United States
- Died: 7 September 1965 in New York City, New York, United States

## Theorems and Definitions

- Petr-Douglas-Neumann Theorem (also known as the PDN-Theorem) (independently of both Karel Petr and Bernhard Hermann Neumann)

## Publications

- 1931:
*Solution of the problem of Plateau*(*Trans. Amer. Math. Soc.***Vol. 33**,*no. 1*: pp. 263 – 321) www.jstor.org/stable/1989472 - 1939:
*Green's function and the problem of Plateau*(*Amer. J. Math.***Vol. 61**,*no. 3*: pp. 545 – 589) www.jstor.org/stable/2371314 - 1939:
*The most general form of the problem of Plateau*(*Amer. J. Math.***Vol. 61**,*no. 3*: pp. 590 – 608) www.jstor.org/stable/2371315 - 1939:
*Solution of the inverse problem of the calculus of variations*(*Proc. Natl. Acad. Sci. U S A***Vol. 25**,*no. 12*: pp. 631 – 637) - 1940:
*A new special form of the linear element of a surface*(*Trans. Amer. Math. Soc.***Vol. 48**: pp. 101 – 116) - 1940:
*On linear polygon transformations*(*Bull. Amer. Math. Soc.***Vol. 46**,*no. 6*: pp. 551 – 561)