4 papers
Global -Regularity for Musielak-Orlicz Equations in Divergence Form
Hlel Missaoui
In this paper, we establish global -regularity for bounded generalized solutions of elliptic equations in divergence form with Musielak-Orlicz growth and subject to Diric…
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…
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…
A new class of anisotropic double phase problems: exponents depending on solutions and their gradients
Ala Eddine Bahrouni, Anouar Bahrouni, Hlel Missaoui
In this work, we introduce two novel classes of quasilinear elliptic equations, each driven by the double phase operator with variable exponents. The first class features a new dou…