Existence of surfaces minimizing the Willmore functional

A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

Peter Li, Shing–Tung Yau · Inventiones mathematicae · 1982 · 582 citations

Natural Sciences, Mathematics, Physics +7

A duality theorem for Willmore surfaces

Robert L. Bryant · Journal of Differential Geometry · 1984 · 392 citations · Full text

Natural Sciences, Mathematics, Geometry +7

Regularity of stable minimal hypersurfaces

Richard Schoen, Leon Simon · Communications on Pure and Applied Mathematics · 1981 · 313 citations

Natural Sciences, Geophysics, Topology +6

On complete minimal surfaces

Robert Osserman · Archive for Rational Mechanics and Analysis · 1963 · 61 citations

Natural Sciences, Anatomy, Computational Geometry +6

Existence of Willmore surfaces

Leon Simon · Project Euclid (Cornell University) · 1986 · 15 citations

Natural Sciences, Astronomy, Topology +2