On a singular variational integral with linear growth, I: Existence and regularity of minimizers

The Imbedding Problem for Riemannian Manifolds

John C. Nash · Annals of Mathematics · 1956 · 995 citations

Natural Sciences, Computer Science, Topology +10

Integral representation on BV(?) of ?-limits of variational integrals

Gianni Dal Maso · manuscripta mathematica · 1979 · 147 citations

Natural Sciences, Property Law, Representation Theory +4

Functionals with linear growth in the calculus of variations. I.

Mariano Giaquinta, Giuseppe Modica, Jiří Souček · Czech digital mathematics library · 1979 · 106 citations · Full text

Natural Sciences, Mathematics, Differential Equations +10

Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals

L. Simon, F. J. Almgren · Acta Mathematica · 1977 · 85 citations · Full text

Computing, Mechanical Engineering, Computational Geometry +8

The two-dimensional analogue of the catenary

Reinhold Böhme, Stefan Hildebrandt, Engelbert Tausch · Pacific Journal of Mathematics · 1980 · 63 citations · Full text

Natural Sciences, Mathematics, Physics +5