6 citations · 9 across the 12 of their papers we have counts for
12 papers
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…
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,…
Problems involving the fractional -Laplacian with Lack of Compactness
Sabri Bahrouni, Hichem Ounaies, Olfa Elfalah
In this paper we prove compact embedding of a subspace of the fractional Orlicz-Sobolev space consisting of radial functions, our target embed…
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…
Variational Eigenvalues of the fractional -Laplacian
Sabri Bahrouni, Hichem Ounaies, Ariel Salort
In the present work we study existence of sequences of variational eigenvalues to non-local non-standard growth problems ruled by the fractional Laplacian operator with differe…
Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem
Sabri Bahrouni, Hichem Ounaies
This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent , when and satisfies some c…
Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems
Sabri Bahrouni, Hichem Ounaies
In the present paper, we deal with a new continuous and compact embedding theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontriv…
Infinitely many solutions for a class of fractional Orlicz-Sobolev Schrödinger equations
Sabri Bahrouni, Hichem Ounaies
In the present paper, we deal with a new compact embedding theorem for a subspace of the new fractional Orlicz-Sobolev spaces. We also establish some useful inequalities which yiel…
Basic results of fractional Orlicz-Sobolev space and applications to non-local problems
Sabri Bahrouni, Hichem Ounaies, Leandro S. Tavares
In this paper, we study the interplay between Orlicz-Sobolev spaces and and fractional Sobolev spaces . More precisely, we give some qualitative properti…
Lyapunov-Sylvester Operators for Numerical Solutions of NLS Equation
Riadh Chteoui, Anouar Ben Mabrouk, Hichem Ounaies
In the present paper a numerical method is developed to approximate the solution of two-dimensional NLS equation in the presence of a singular potential. The method leads to Lyapun…