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Homepage of Bozhidar Velichkov
Professore Ordinario (Full Professor) at
Dipartimento di Matematica
Università di Pisa
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.
*NEW*
•
Epsilon-regularity for the solutions of a free boundary system.
(with Francesco Paolo Maiale and Giorgio Tortone)
•
Regularity of the optimal sets for the second Dirichlet eigenvalue
(with Dario Mazzoleni and Baptiste Trey) -
Summary/Cover letter
•
Regularity of the two-phase free boundaries
- the extended version of the Oberwolfach report of my talk at the 2020 workshop Calculus of Variations.
•
Regularity of the free boundary for the two-phase Bernoulli problem
(with Guido De Philippis and Luca Spolaor) -
Summary/Cover letter
•
Regularity of the two-phase free boundaries
- slides of my talks in Pisa and Levico
•
Regularity of the one-phase free boundaries
- Lecture notes
•
On the logarithmic epiperimetric inequality
- slides of my
talks in
Krakow, Aveiro, Oberwolfach, Trento, and Milano