2 citations · 2 across the 9 of their papers we have counts for
9 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 Dirich…
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 additio…
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…
Existence of solutions for nonlinear Dirac equations in the Bopp-Podolsky electrodynamics
Hlel Missaoui
In this paper, we study the following nonlinear Dirac-Bopp-Podolsky system \begin{equation*} \left\lbrace \begin{array}{rll} \displaystyle{ -i\sum_{k=1}^{3}α_{k}\partial_{k}u+[V(x)…
On the fractional Musielak-Sobolev spaces in R^d: Embedding results & applications
Anouar Bahrouni, Hlel Missaoui, Hichem Ounaies
This paper deals with new continuous and compact embedding theorems for the fractional Musielak-Sobolev spaces in . As an application, using the variational methods,…
On the Schrödinger-Bopp-Podolsky system: Ground state & least energy nodal solutions with nonsmooth nonlinearity
Anouar Bahrouni, Hlel Missaoui
In this work, we study the existence of sign-changing solutions for the Schrödinger-Bopp-Podolsky system.
Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition
Hlel Missaoui, Hichem Ounaies
We consider a non-local Shrödinger problem driven by the fractional Orlicz g-Laplace operator as follows \begin{equation}\label{PP} (-\triangle_{g})^αu+g(u)=K(x)f(x,u),\ \ \text{in…
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…
Least-energy nodal solutions of nonlinear equations with fractional Orlicz-Sobolev spaces
Anouar Bahrouni, Hlel Missaoui, Hichem Ounaies
In our work, we prove the existence of least-energy nodal solutions for nonlinear equations in which the new fractional Orlicz Laplacian is present. Precisely, we prove a compact e…