Mathematical Analysis

Submitted by mfbetta on Mon, 10/09/2023 - 14:49
Faculty/school/department
Interdepartmental School of Science, Engineering and Health
Size of the team
from 4 to 7
number of researchers number of supporting staff number of PhD students
4
0
0
Composition of Joint Unit of Research, if relevant

Filomena Feo

Gianpaolo Piscitelli

Sandra Saliani

PI
PI name
Maria Francesca Betta
PI bio

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

Contact person and e-mail
Contact person
Maria Francesca Betta
Contact person e-mail
Short description of research profile

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

Publications