activity
20242026
collaborators

4 papers

math.AP2026

On the fractional logarithmic -Laplacian

Anouar Bahrouni, Abdelhamid Gouasmia, Hichem Hajaiej +1

In this paper, we introduce and investigate the fractional logarithmic -Laplacian , defined as the first-order derivative with respect to the parameter o…

math.AP2026

Local Existence, Uniqueness, Regularity, and Global Behavior of Evolution Equations Involving Mixed Local and Nonlocal Operators

Abdelhamid Gouasmia, Hichem Hajaiej, Kaushik Bal

In this work, we address a parabolic problem featuring a potentially doubly nonlinear term, governed by a combination of local and nonlocal operators (see Problem P1 below). We fir…

math.AP2025

Comparison principle for Singular Fractional Laplacian Problems

Abdelhamid Gouasmia, Kaushik Bal

In this paper, we establish a novel comparison principle of independent interest and prove the uniqueness of weak solutions within the local Orlicz--Sobolev space framework, for th…

math.AP2024

Uniqueness Results for Mixed Local and Nonlocal Equations with Singular Nonlinearities and Source Terms

Abdelhamid Gouasmia

This paper considers a local and non-local problem characterized by singular nonlinearity and a source term. Specifically, we focus on the following problem: \begin{equation}\label…