Welcome! I am Roberto Ognibene
I am a Tenure Track Researcher at
Università di Milano-Bicocca – Dipartimento di Matematica e Applicazioni
My research primarily focuses on the following topics:
- regularity of solutions and free boundaries in geometric variational problems. In particular, I am mostly interested in the optimal partition problem, which can be seen within the framework of harmonic maps with values into trees
- understanding the behavior of the spectrum of differential operators subject to (singular) perturbations. Examples are: domains with small holes, pertrurbation of the boundary conditions in a small portion of the boundary, varying measure weights, Robin-to-Dirichlet convergence…
- existence and uniqueness of solutions to PDEs governed by the fractional Laplacian with Hardy-type potentials
I am always interested in possible new collaborations. Feel free to reach me at
roberto.ognibene AT unimib DOT it