Maria Francesca Betta is Associate Professor of Mathematical Analysis (MAT/05). She graduated in Mathematics cum laude and then earned a Ph.D. in Mathematics from University of Naples “Federico II”.
Her research activity focused on qualitative study of solutions of boundary problems relating to second-order differential operators of the elliptic type. In this context it is possible to distinguish the following research sectors:
- Linear and non-linear elliptic equations: existence, comparison and regularity results
- Optimization problems in classes of functions with assigned reordering
- Isoperimetric inequalities and comparison results
- Nonlinear elliptic equations with measure data: existence and uniqueness results
Filomena Feo
Gianpaolo Piscitelli
Sandra Saliani
The research activities of the Mathematics Analysis Group focus on:
- Construction of class of representations of discrete hyperbolic fundamental groups of surfaces.
- Construction of mathematical transforms defined in the spectral domain of finite graphs and applications to compression, denoising and reconstruction of signals defined on large graphs.
- Comparison results for solutions to boundary value problems for nonlinear elliptic and parabolic partial differential equations
- Nonstandard symmetrization methods and symmetry results for nonlinear elliptic equations
- Existence, uniqueness and regularity of solutions to nonlinear elliptic and parabolic partial differential equations with data affected by low degree of integrability
- Functional inequalities and their applications to PDEs