Eugene Stepanov
Eugene Stepanov
St. Petersburg Branch of the Steklov Mathematical Institute
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Optimal transportation problems with free Dirichlet regions
G Buttazzo, E Oudet, E Stepanov
Variational methods for discontinuous structures, 41-65, 2002
Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem
G Buttazzo, E Stepanov
Annali della Scuola Normale Superiore di Pisa-Classe di Scienze 2 (4), 631-678, 2003
Optimal urban networks via mass transportation
G Buttazzo, A Pratelli, S Solimini, E Stepanov
Springer Science & Business Media, 2008
Decomposition of acyclic normal currents in a metric space
E Paolini, E Stepanov
Journal of functional analysis 263 (11), 3358-3390, 2012
Qualitative properties of maximum distance minimizers and average distance minimizers in R n
E Paolini, E Stepanov
Journal of Mathematical Sciences 122 (3), 3290-3309, 2004
Existence and regularity results for the Steiner problem
E Paolini, E Stepanov
Calculus of Variations and Partial Differential Equations 46 (3), 837-860, 2013
Minimization problems for average distance functionals
G Buttazzo, E Stepanov
Calculus of Variations: Topics from the Mathematical Heritage of Ennio De …, 2004
Optimal transportation networks as flat chains
E Paolini, E Stepanov
Interfaces and Free Boundaries 8 (4), 393-436, 2006
Long-term planning versus short-term planning in the asymptotical location problem
A Brancolini, G Buttazzo, F Santambrogio, E Stepanov
ESAIM: Control, Optimisation and Calculus of Variations 15 (3), 509-524, 2009
On solvability of some boundary value problems for differential equations with" maxima"
E Stepanov
Topological Methods in Nonlinear Analysis 8 (2), 315-326, 1996
Structure of metric cycles and normal one-dimensional currents
E Paolini, E Stepanov
Journal of Functional Analysis 264 (6), 1269-1295, 2013
Optimal pricing policies for public transportation networks
G Buttazzo, A Pratelli, E Stepanov
SIAM Journal on Optimization 16 (3), 826-853, 2006
Numerical investigation of thermally induced birefringence in optical elements of solid-state lasers
V Parfenov, V Shashkin, E Stepanov
Applied optics 32 (27), 5243-5255, 1993
Three superposition principles: currents, continuity equations and curves of measures
E Stepanov, D Trevisan
Journal of Functional Analysis 272 (3), 1044-1103, 2017
Stationary configurations for the average distance functional and related problems
G Buttazzo, E Mainini, E Stepanov
arXiv preprint arXiv:1401.0394, 2014
Partial geometric regularity of some optimal connected transportation networks
EO Stepanov
Journal of Mathematical Sciences 132 (4), 522-552, 2006
Transport density in Monge-Kantorovich problems with Dirichlet conditions
G Buttazzo, E Stepanov
Discrete & Continuous Dynamical Systems-A 12 (4), 607, 2005
On one-dimensional continua uniformly approximating planar sets
M Miranda, E Paolini, E Stepanov
Calculus of Variations and Partial Differential Equations 27 (3), 287-309, 2006
On Regularity of Transport Density in the Monge--Kantorovich Problem
G Buttazzo, E Stepanov
SIAM journal on control and optimization 42 (3), 1044-1055, 2003
Homogenization of optimal control problems for functional differential equations
G Buttazzo, ME Drakhlin, L Freddi, E Stepanov
Journal of optimization theory and applications 93 (1), 103-119, 1997
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