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Matteo Doni
R-Mod-enriched categories are left R-module objects of Cat(Ab) and Cat(Ab)-enriched functors
📥 Full Text (PDF format), posted online July 2025.
Abstract. (HTML abridged version) We establish the feasibility of investigating the theory of R-Mod-enriched categories for any unitary ring R, through the framework of Ab-enriched category theory. We prove that the category of R-Mod-enriched categories and the category of R-modules inside the category of Ab-enriched categories are equivalent.
Mahmoud El Ahmadi, Abdesslem Ayoujil, Mohammed Berrajaa
On a p(x)-biharmonic problem without the Ambrosetti-Rabinowitz condition
📥 Full Text (PDF format), July 2025.
Abstract. (HTML abridged version) The purpose of this article is to study the existence and multiplicity of solutions for the following problem involving the p(x)-biharmonic operator: ... .
Lucio Boccardo, Marco Picerni
Stability results for variational inequalities in Sobolev spaces under Mosco Convergence of convex sets
📥 Full Text (PDF format), posted online 1 February 2025.
Abstract. See the pdf.