[velichkov]

MCF, Universite Joseph Fourier (Grenoble)

**Email:** *bozhidar.velichkov AT gmail.com*

**Home-page:** http://www.velichkov.it/

- D. Mazzoleni - S. Terracini - B. Velichkov (Accepted Paper:
*GAFA*)

Regularity of the optimal sets for some spectral functionals (2017) - D. Bucur - I. Fragalà - G. Verzini - B. Velichkov (Submitted Paper)

On the honeycomb conjecture for a class of minimal convex partitions (2017) - G. Buttazzo - B. Velichkov (Submitted Paper)

A shape optimal control problem and its probabilistic counterpart (2017) - G. Buttazzo - B. Velichkov

Spectral optimization problems for Schrödinger operators (2017) - M. Colombo - L. Spolaor - B. Velichkov (Preprint)

A logarithmic epiperimetric inequality for the obstacle problem (2017) - M. Colombo - L. Spolaor - B. Velichkov (Submitted Paper)

Direct epiperimetric inequalities for the thin obstacle problem and applications (2017) - G. Buttazzo - F. Maestre - B. Velichkov (Submitted Paper)

Optimal potentials for problems with changing sign data (2017) - L. Spolaor - B. Velichkov (Accepted Paper:
*Comm. Pure Appl. Math.*)

An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case (2017) - J. C. Bellido - G. Buttazzo - B. Velichkov (Submitted Paper)

Worst-case shape optimization for the Dirichlet energy (2016) - A. Massaccesi - E. Oudet - B. Velichkov (Submitted Paper)

Numerical Calibration of Steiner trees (2016) - G. De Philippis - J. Lamboley - M. Pierre - B. Velichkov (Accepted Paper:
*J. Math. Pures Appl.*)

Regularity of Minimizers of Shape Optimization Problems involving Perimeter (2016) - G. Buttazzo - E. Oudet - B. Velichkov (Accepted Paper:
*Calc. Var. PDE*)

A free boundary problem arising in PDE optimization (2015) - G. De Philippis - A. Mészáros - F. Santambrogio - B. Velichkov (Accepted Paper:
*Arch. Ration. Mech. An.*)

BV Estimates in Optimal Transportation and Applications (2015) - L. Brasco - G. De Philippis - B. Velichkov (
*Duke Math. J.*)

Faber-Krahn inequalities in sharp quantitative form (2015) - G. Buttazzo - M. van den Berg - B. Velichkov (Preprint)

Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity (2014) - B. Velichkov (
*Rend. Lincei Mat. Appl.*)

A note on the monotonicity formula of Caffarelli-Jerison-Kenig (2014) - G. Buttazzo - B. Velichkov (Preprint)

The spectral drop problem (2014) - D. Bucur - B. Velichkov (
*SICON*)

Multiphase shape optimization problems (2014) - D. Bucur - D. Mazzoleni - A. Pratelli - B. Velichkov (
*ARMA*)

Lipschitz regularity of the eigenfunctions on optimal domains (2014) - D. Bucur - G. Buttazzo - B. Velichkov (
*SIMA*)

Spectral optimization problems for potentials and measures (2014) - G. Buttazzo - B. Ruffini - B. Velichkov (
*ESAIM Control Optim. Calc. Var.*)

Shape Optimization Problems for Metric Graphs (2014) - G. De Philippis - B. Velichkov (
*Appl. Math. Optim.*)

Existence and regularity of minimizers for some spectral functionals with perimeter constraint (2014) - B. Velichkov (Phd Thesis)

Existence and regularity results for some shape optimization problems (2013) - D. Bucur - G. Buttazzo - B. Velichkov (
*Ann. I. H. Poincare' Anal. Non Lineaire*)

Shape Optimization Problems with Internal Constraint (2013) - G. Buttazzo - B. Velichkov (
*Journal of Functional Analysis*)

Shape optimization problems on metric measure spaces (2013) - B. Bogosel - B. Velichkov (SINUM)

A multiphase shape optimization problem for eigenvalues: qualitative study and numerical results (2013) - G. Buttazzo - A. Gerolin - B. Ruffini - B. Velichkov (
*J. Éc. polytech. Math.*)

Optimal Potentials for Schrödinger Operators (2013) - G. Buttazzo - B. Velichkov (Preprint)

Some New Problems in Spectral Optimization (2012)

*24 apr 2017 - 26 apr 2017:*Transport problems in Zurich*25 oct 2016 - 28 oct 2016:*Workshop in Geometric Measure Theory, Shape Optimisation and Free Boundaries