M. Khamsi

activity

20242026

collaborators

4 papers

math.FA2026

Modular Topologies on Vector Spaces: Structure and Normability

M. Khamsi, J. Lang, O. Mendez

We investigate the topology generated by modular convergence on vector spaces endowed with a convex modular. Although modular convergence has long played a central role in the theo…

math.AP2025

Existence and Uniqueness for Double-Phase Poisson Equations with Variable Growth

Mohamed Khamsi, Osvaldo Mendez

We study a class of nonlinear elliptic problems driven by a double-phase operator with variable exponents, arising in the modeling of heterogeneous materials undergoing phase trans…

math.FA2025

Modular topologies on vector spaces

Mohamed Khamsi, Jan Lang, Osvaldo Mendez

This paper addresses the topological structures induced on vector spaces by convex modulars that do not satisfy the $Δ_{2}$ condition, with particular focus on their applications to…

math.AP2024

The Dirichlet problem for the $p (x)$ -Laplacian with unbounded exponent $p (x)$

M. Khamsi, J. Lang, O. Mendez +1

We prove the solvability of the Dirichlet problem for the variable exponent $p$ -Laplacian with boundary data in $W^{1, p (x)} (Ω)$ on a bounded, smooth domain $Ω \subset R^{n}$ …

Modular Topologies on Vector Spaces: Structure and Normability

Existence and Uniqueness for Double-Phase Poisson Equations with Variable Growth

Modular topologies on vector spaces

The Dirichlet problem for the p(x)-Laplacian with unbounded exponent p(x)

The Dirichlet problem for the $p (x)$ -Laplacian with unbounded exponent $p (x)$