The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows

Nonlocal minimal surfaces

Luis Caffarelli, Jean -Michel Roquejoffre, Ovidiu Savin · Communications on Pure and Applied Mathematics · 2010 · 437 citations

Non-local Interaction, Global Geometry, Geometry +2

Another look at Sobolev spaces

Jean Bourgain, Petru Mironescu · 2001 · 324 citations · Full text

A phase-field theory of dislocation dynamics, strain hardening and hysteresis in ductile single crystals

Marisol Koslowski, Alberto M. Cuitiño, M. Ortíz · Journal of the Mechanics and Physics of Solids · 2002 · 290 citations · Full text

Engineering, Severe Plastic Deformation, Physics +13

A new approach to Sobolev spaces and connections to $\mathbf\Gamma$ -convergence

Augusto C. Ponce · Calculus of Variations and Partial Differential Equations · 2004 · 228 citations · Full text

Sobolev Spaces, Dirichlet Form, Harmonic Space +4

Gamma-convergence of nonlocal perimeter functionals

Luigi Ambrosio, Guido De Philippis, Luca Martinazzi · manuscripta mathematica · 2010 · 192 citations · Full text

Dirichlet Form, Non-local Interaction, Variational Analysis +2