Non-parametric mean curvature evolution with boundary conditions

Flow by mean curvature of convex surfaces into spheres

Gerhard Huisken · Journal of Differential Geometry · 1984 · 1.2K citations · Full text

Natural Sciences, Computer Science, Geometric Modeling +12

The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

James Serrin · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1969 · 455 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +13

Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

J. H. Michael, L. Simon · Communications on Pure and Applied Mathematics · 1973 · 452 citations

Engineering, Geophysics, Subsurface Fluid Flow +7

Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature

Gerhard Huisken · Inventiones mathematicae · 1986 · 254 citations · Full text

Natural Sciences, Physics, Computational Geometry +12

Evolutionary surfaces of prescribed mean curvature

Claus Gerhardt · Journal of Differential Equations · 1980 · 48 citations

Life Sciences, Evolutionary Biology, Macroevolution +6