I am working in the fields of

Calculus of Variations and Partial Differental Equations,

in particular on the Regularity Theory, which is the study of the

fine structure of the solutions to variational and PDE problems.

Most of my current research is dedicated to Free Boundary Problems.

- Ufficio 42
- Dipartimento di Matematica

Università di Pisa - bozhidar.velichkov@unipi.it
- My page at CVGMT.

results

(preprint 4/2024; with Roberto Ognibene)

- Summary/Cover letter

(preprint 7/2024; with Lorenzo Ferreri and Luca Spolaor)

(preprint 10/2023; with Lorenzo Ferreri, Giorgio Tortone)

and applications

(preprint 9/2023; with Lorenzo Ferreri)

(J. Eur. Math. Soc. 2024; with Guido De Philippis and Luca Spolaor)

(Ann. Inst. H. Poincaré Anal. Non Linéaire 2022; with Dario Mazzoleni, Baptiste Trey)

- Summary/Cover letter

(Invent. Math. 2021; with Guido De Philippis and Luca Spolaor)

- Summary/Cover letter

- Extended abstract - Workshop Calculus of Variations (Oberwolfach)

- Slides of my talks in Oberwolfach, Pisa, and Levico

the 2-dimensional case (Comm. Pure Appl. Math. 2018; with Luca Spolaor)

measure constraint

(Arch. Rat. Mech. Anal. 2024; with G. Buttazzo, F.P. Maiale, D. Mazzoleni, G. Tortone)

(Ann. Sc. Norm. Super. Pisa Cl. Sci. 2024; with F. P. Maiale and Giorgio Tortone)

(Rev. Mat. Iberoam. 2023; with F. P. Maiale and Giorgio Tortone)

(Anal. PDE 2020; with Dario Mazzoleni and Susanna Terracini)

(preprint 9/2024; with Matteo Carducci)

(Comm. Pure Appl. Math. 2019; with Maria Colombo and Luca Spolaor)

(Geom. Funct. Anal. 2018; with Maria Colombo and Luca Spolaor)

- On the logarithmic epiperimetric inequality - slides of my

talks in Krakow, Aveiro, Oberwolfach, Trento, and Milano