Alaa Haj Ali

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20172026

most citedThe obstacle problem for a higher order fractional Laplacian

1 citations · 1 across the 3 of their papers we have counts for

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math.AP2026

The Bifurcation Phenomenon for the Regularized Two-Phase Problem Associated with the $p$ -Laplacian

Alaa Haj Ali, Catherine Lebiedzik, Peiyong Wang

In this paper, we verify a bifurcation phenomenon regarding the multiplicity of weak solutions, subject to the Dirichlet boundary condition, of a regularized two-phase free boundar…

math.AP2023★ 1 cited

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 $(- Δ)^{s}$ in the Euclidian space $R^{n}$ in the case where $1 < s < 2$ . As first observed in \…

math.AP2017

Symmetry and Approximate Symmetry of a Nonlinear Elliptic Problem over a Ring

Alaa Haj Ali, Dongsheng Li, Peiyong Wang

A singularly perturbed free boundary problem arising from a real problem associated with a Radiographic Integrated Test Stand concerns a solution of the equation $Δ u = f (u)$ in a d…

The Bifurcation Phenomenon for the Regularized Two-Phase Problem Associated with the p-Laplacian

The obstacle problem for a higher order fractional Laplacian

Symmetry and Approximate Symmetry of a Nonlinear Elliptic Problem over a Ring

The Bifurcation Phenomenon for the Regularized Two-Phase Problem Associated with the $p$ -Laplacian