I am working in the fields of

Calculus of Variations and Partial Differental Equations.

I am interested in the so-called 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

weights and applications

for the Alt-Caffarelli functional

(with Guido De Philippis, Luca Spolaor)

(with Dario Mazzoleni, Baptiste Trey) - Summary/Cover letter

(with Guido De Philippis, Luca Spolaor)

- Summary/Cover letter

- Extended abstract - Workshop Calculus of Variations (Oberwolfach)

- Slides of my talks in Pisa and Levico

measure constraint

(with Giuseppe Buttazzo, Francesco Paolo Maiale, Dario Mazzoleni, Giorgio Tortone)

(with Francesco Paolo Maiale, Giorgio Tortone)

(with Dario Mazzoleni, Susanna Terracini)

(with Maria Colombo and Luca Spolaor)

(with Maria Colombo and Luca Spolaor)