All my preprints and papers are available on ArXiv and CVGMT.


P R E P R I N T S 

1. A priori regularity estimates for equations degenerating on nodal sets
\w S. Terracini and S. Vita, arXiv (2024)

2. A capillarity one-phase Bernoulli free boundary problem
\w L. Ferreri and B. Velichkov, arXiv (2023)

  
P U B L I C A T I O N S 

15. Regularity of the optimal sets for a class of integral shape functionals
\w G. Buttazzo, F.P. Maiale, D. Mazzoleni and B. Velichkov, Arch. Rat. Mech. Anal (2024)

14. Higher order boundary Harnack principle via degenerate equations
\w S. Terracini and S. Vita, Arch. Rat. Mech. Anal (2024)

13. Liouville theorems and optimal regularity in elliptic equations
G. Tortone, Proc. Lond. Math. Soc. (2024)

12. On the nodal set of solutions to some sublinear equations without homogeneity
\w N. Soave, Arch. Rat. Mech. Anal (2024)

11. On the dimension of singular set in optimization problems with measure constraint
\w D. Mazzoleni and B. Velichkov, J. Convex. Anal. (2023)

10. A vectorial problem with thin free boundary
\w D. De Silva, Calc. Var. Partial Differential Equations (2023)

9. Epsilon-regularity for the solutions of a free boundary system
\w F.P. Maiale and B. Velichkov, Rev. Mat. Iberoamericana (2023)

8. The boundary Harnack principle on optimal domains
\w F.P. Maiale and B. Velichkov, Ann. Sc. Norm. Super. Pisa Cl. Sci (2022)

7. The nodal set of solutions to some nonlocal sublinear problems
G. Tortone, Calc. Var. Partial Differential Equations (2022)

6. Regularity of shape optimizers for some spectral fractional problems
G. Tortone, J. Funct. Anal. (2021)

5. On the nodal set of solutions to degenerate or singular elliptic equations with an application to s-harmonic functions
\w Y. Sire and S. Terracini, J. Math. Pures Appl.  (2020)

4. Improvement of fatness for vector valued free boundary problems
\w D. De Silva, Math. Eng. (2020)

3. Regularity results for segregated configurations involving fractional Laplacians
\w A. Zilio, Nonlinear Anal. (2020)

2. The nodal set of solutions to anomalous equations
G. Tortone, Bruno Pini Math. Anal. Semin. (2020)

1. On s-harmonic functions on cones
\w S. Terracini and S. Vita, Anal. PDE (2018)