21 citations · 53 across the 18 of their papers we have counts for
22 papers
On a class of thin obstacle-type problems for the bi-Laplacian operator
Donatella Danielli, Giovanni Gravina
This paper investigates the regularity of solutions and structural properties of the free boundary for a class of fourth-order elliptic problems with Neumann-type boundary conditio…
The obstacle problem for a higher order fractional Laplacian
Donatella Danielli, Alaa Haj Ali, Arshak Petrosyan
In this paper, we consider the obstacle problem for the fractional Laplace operator in the Euclidian space in the case where . As first observed in \…
A survey on obstacle-type problems for fourth order elliptic operators
Donatella Danielli, Alaa Haj Ali
In this article we give a brief overview of some known results in the theory of obstacle-type problems associated with a class of fourth-order elliptic operators, and we highlight…
Space-like strong unique continuation for some fractional parabolic equations
Vedansh Arya, Agnid Banerjee, Donatella Danielli +1
In this paper we establish the \emph{space-like} strong unique continuation for nonlocal equations of the type , for . The proof of our main resul…
A two phase boundary obstacle-type problem for the bi-Laplacian
Donatella Danielli, Alaa Haj Ali
In this paper we are concerned with a two phase boundary obstacle-type problem for the bi-Laplace operator in the upper unit ball. The problem arises in connection with unilateral…
On a weighted two-phase boundary obstacle problem
Donatella Danielli, Roberto Ognibene
In this work we consider an inhomogeneous two-phase obstacle-type problem driven by the fractional Laplacian. In particular, making use of the Caffarelli-Silvestre extension, Almgr…