Alaa Haj Ali

most citedThe obstacle problem for a higher order fractional Laplacian

1 citations · 1 across the 2 of their papers we have counts for

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2 papers

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 \…

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

The obstacle problem for a higher order fractional Laplacian

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