46 citations · 89 across the 18 of their papers we have counts for
4 papers · 1 filter
Asymptotic optimal location of facilities in a competition between population and industries
Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov
We consider the problem of optimally locating a given number of points in for an integral cost function which takes into account two measures and . T…
Droplet condensation and isoperimetric towers
Matteo Novaga, Andrei Sobolevski, Eugene Stepanov
We consider a variational problem in a planar convex domain, motivated by statistical mechanics of crystal growth in a saturated solution. The minimizers are constructed explicitly…
Structure of metric cycles and normal one-dimensional currents
Emanuele Paolini, Eugene Stepanov
We prove that every one-dimensional real Ambrosio-Kirchheim normal current in a Polish (i.e. complete separable metric) space can be naturally represented as an integral of simpler…
Decomposition of acyclic normal currents in a metric space
Emanuele Paolini, Eugene Stepanov
We prove that every acyclic normal one-dimensional real Ambrosio-Kirchheim current in a Polish (i.e. complete separable metric) space can be decomposed in curves, thus generalizing…