3 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 condition, with particular focus on their applications to…