2 papers
math.AP2026
A Class of De Giorgi Type and Hölder Continuity for Some Problems in Musielak-Orlicz-Sobolev Spaces
Hlel Missaoui, Anouar Bahrouni, Hichem Ounaies
In this paper, we introduce a new class of De Giorgi type functions, denoted by \(\mathcal{B}_{G(x,t)}\), and establish the Hölder continuity of its elements under suitable additi…
math.AP2025
Orlicz-Sobolev versus Hölder local minimizer for nonlinear Robin problems
Anouar Bahrouni, Hlel Missaoui, Hichem Ounaies +1
In this paper, we establish a regularity results for weak solutions of Robin problems driven by the well-known Orlicz -Laplacian operator. Precisely, by using a suitable variati…