Sobolev Spaces with Zero Boundary Values on Metric Spaces

Quasiconformal maps in metric spaces with controlled geometry

Juha Heinonen, Pekka Koskela · Acta Mathematica · 1998 · 922 citations · Full text

Global Geometry, Geometry, Set-theoretic Topology +7

Sobolev spaces on an arbitrary metric space

Piotr Hajłasz · Potential Analysis · 1996 · 583 citations

Dirichlet Form, Arbitrary Metric Space, Riemannian Manifold +2

Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

Nicola Garofalo, Duy-Minh Nhieu · Communications on Pure and Applied Mathematics · 1996 · 539 citations

Integral Geometry, Sobolev Inequalities, Engineering +7

An embedding theorem and the harnack inequality for nonlinear subelliptic equations

Luca Capogna, Donatella Danielli, Nicola Garofalo · Communications in Partial Differential Equations · 1993 · 208 citations

Nonlinear Subelliptic Equations, Grant 9104023-Dms, Global Analysis +7

Weighted sobolev-poincaré inequalities for grushin type operators

Bruno Franchi, Cristian E. Gutiérrez, Richard L. Wheeden · Communications in Partial Differential Equations · 1994 · 135 citations

Spectral Theory, Elliptic Equation, Engineering +6