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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.


Optimal partition problems

The one-phase Bernoulli problem

Two-phase Bernoulli problems

Free boundary systems

Regularity of the free boundary for the vectorial Bernoulli problem
(with Dario Mazzoleni, Susanna Terracini)

Regularity of the optimal sets for some spectral functionals

(with Dario Mazzoleni, Susanna Terracini)

Obstacle problems