Scientists / Open questions

杰西·道格拉斯

Jesse Douglas

极小曲面、变分法

1936 年菲尔兹奖

3 个问题

  1. Multiplicity of solutions of the classical Plateau problem: uniqueness, finiteness, and the number of minimal surfaces bounded by a given contour

  2. The inverse problem of the calculus of variations for systems of second-order ordinary differential equations in arbitrary dimension n≥3n \geq 3 (completing the Helmholtz-Douglas solution)

  3. Necessity and minimal regularity hypotheses in Douglas's converse theorem on the diametral locus of an algebraic curve

返回开放问题