Faber–Krahn inequalities in sharp quantitative form L Brasco, G De Philippis, B Velichkov Duke Mathematical Journal 164 (9), 1777-1831, 2015 | 72 | 2015 |
Existence and regularity of minimizers for some spectral functionals with perimeter constraint G De Philippis, B Velichkov Applied Mathematics & Optimization 69 (2), 199-231, 2014 | 43 | 2014 |
BV estimates in optimal transportation and applications G De Philippis, AR Mészáros, F Santambrogio, B Velichkov Archive for Rational Mechanics and Analysis 219 (2), 829-860, 2016 | 39 | 2016 |
Lipschitz regularity of the eigenfunctions on optimal domains D Bucur, D Mazzoleni, A Pratelli, B Velichkov Archive for Rational Mechanics and Analysis 216 (1), 117-151, 2015 | 39 | 2015 |
Multiphase shape optimization problems D Bucur, B Velichkov SIAM Journal on Control and Optimization 52 (6), 3556-3591, 2014 | 36 | 2014 |
Existence and regularity results for some shape optimization problems B Velichkov Scuola Normale Superiore, 2015 | 26 | 2015 |
A logarithmic epiperimetric inequality for the obstacle problem M Colombo, L Spolaor, B Velichkov Geometric and Functional Analysis 28 (4), 1029-1061, 2018 | 23 | 2018 |
Regularity of the optimal sets for some spectral functionals D Mazzoleni, S Terracini, B Velichkov Geometric and Functional Analysis 27 (2), 373-426, 2017 | 20 | 2017 |
Spectral optimization problems for potentials and measures D Bucur, G Buttazzo, B Velichkov SIAM Journal on Mathematical Analysis 46 (4), 2956-2986, 2014 | 19 | 2014 |
Direct epiperimetric inequalities for the thin obstacle problem and applications M Colombo, L Spolaor, B Velichkov Communications on Pure and Applied Mathematics 73 (2), 384-420, 2020 | 16 | 2020 |
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity M van den Berg, G Buttazzo, B Velichkov New trends in shape optimization, 19-41, 2015 | 16 | 2015 |
An epiperimetric inequality for the regularity of some free boundary problems: the 2‐dimensional case L Spolaor, B Velichkov Communications on Pure and Applied Mathematics 72 (2), 375-421, 2019 | 15 | 2019 |
Spectral optimization problems with internal constraint D Bucur, G Buttazzo, B Velichkov Annales de l'Institut Henri Poincare (C) Non Linear Analysis 30 (3), 477-495, 2013 | 15 | 2013 |
On the honeycomb conjecture for a class of minimal convex partitions D Bucur, I Fragalà, B Velichkov, G Verzini Transactions of the American Mathematical Society 370 (10), 7149-7179, 2018 | 14 | 2018 |
A multiphase shape optimization problem for eigenvalues: qualitative study and numerical results B Bogosel, B Velichkov SIAM Journal on Numerical Analysis 54 (1), 210-241, 2016 | 14 | 2016 |
A note on the monotonicity formula of Caffarelli–Jerison–Kenig B Velichkov Rendiconti Lincei-Matematica e Applicazioni 25 (2), 165-189, 2014 | 14 | 2014 |
Numerical calibration of Steiner trees A Massaccesi, E Oudet, B Velichkov Applied Mathematics & Optimization 79 (1), 69-86, 2019 | 13 | 2019 |
Shape optimization problems for metric graphs G Buttazzo, B Ruffini, B Velichkov ESAIM: Control, Optimisation and Calculus of Variations 20 (1), 1-22, 2014 | 11 | 2014 |
Optimal potentials for Schrödinger operators G Buttazzo, A Gerolin, B Ruffini, B Velichkov Journal de l’École polytechnique-Mathématiques 1, 71-100, 2014 | 11 | 2014 |
Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional M Engelstein, L Spolaor, B Velichkov Duke Mathematical Journal 169 (8), 1541-1601, 2020 | 10 | 2020 |