3 papers
math.AP2022
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…
math.AP2021
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…
math.AP2018
The One-Phase Bifurcation For The p-Laplacian
Alaa Haj Ali, Peiyong Wang
A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary cond…