3 papers
math.AP2024
Existence and regularity results for a class of non-uniformly elliptic Robin problems
Francesco Della Pietra, Giuseppina di Blasio, Teresa Radice
In this paper, we study the existence and the summability of solutions to a Robin boundary value problem whose prototype is the following: $$ \begin{cases} -\text{div}(b(|u|)\nabla…
math.AP2023
On a nonlinear Robin problem with an absorption term on the boundary and data
Francesco Della Pietra, Francescantonio Oliva, Sergio Segura de León
We deal with existence and uniqueness of nonnegative solutions to \begin{equation*} \left\{ \begin{array}{l} -Δu = f(x) \text{ in }Ω, \frac{\partial u}{\partial ν} + λ(x) u = \frac…
math.AP2014
Symmetrization with respect to the anisotropic perimeter and applications
Francesco Della Pietra, Nunzia Gavitone
In this paper we introduce a new type of symmetrization, which preserves the anisotropic perimeter of the level sets of a suitable concave smooth function, in order to prove sharp…