Existence of smooth embedded surfaces of prescribed genus that minimize parametric even elliptic functionals on 3-manifolds

Normal and Integral Currents

Herbert Fédérer, Wendell H. Fleming · Annals of Mathematics · 1960 · 981 citations

Engineering, Electrical Engineering, Physics +10

The structure of complete stable minimal surfaces in 3‐manifolds of non‐negative scalar curvature

D. Fischer-Colbrie · Communications on Pure and Applied Mathematics · 1980 · 704 citations

Natural Sciences, Mathematics, Geometry +12

Solution of the problem of Plateau

Jesse Douglas · Transactions of the American Mathematical Society · 1931 · 426 citations · Full text

Natural Sciences, Earth Sciences, Structural Geology +1

The Problem of Plateau on a Riemannian Manifold

Charles B. Morrey · Annals of Mathematics · 1948 · 284 citations

Natural Sciences, Mathematics, Descriptive Geometry +10

Existence and Regularity Almost Everywhere of Solutions to Elliptic Variational Problems among Surfaces of Varying Topological Type and Singularity Structure

F. J. Almgren · Annals of Mathematics · 1968 · 205 citations

Natural Sciences, Mathematics, Differential Equations +15