My research interests lie in the framework of calculus of variations and (elliptic) partial differential equations. 

The main lines of investigations are the following:

• Singular perturbations of eigenvalue problems for elliptic differential operators

• Existence and qualitative properties of solutions of nonlocal elliptic problems

• Shape optimization and stability estimates

• Free boundary problems driven by elliptic operators

• Existence and asymptotic behaviour of solutions in finite elasticity

roberto.ognibene@dm.unipi.it