9 citations · 19 across the 15 of their papers we have counts for
15 papers
Eigenvalue estimates and maximum principle for Lane-Emden systems, and applications to poly-Laplacian equations
Sabri Bahrouni, Edir Júnior Ferreira Leite, Gustavo Ferron Madeira
This paper deals with explicit upper and lower bounds for principal eigenvalues and the maximum principle associated to generalized Lane-Emden systems (GLE systems, for short). Reg…
Peridynamics and Anisotropic Fractional Sobolev Spaces with Variable Exponents
Sabri Bahrouni, Julian Fernandez Bonder, Ignacio Ceresa Dussel +1
In this paper, our primary objective is to develop the peridynamic fractional Sobolev space and establish novel BBM-type results associated with it. We also address the peridynamic…
The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Sabri Bahrouni, Olimpio Miyagaki
In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution f…
On the Eigenvalues of the Fractional Laplacian
Sabri Bahrouni, Hichem Hajaiej, Linjie Song
We consider the eigenvalue problem for the fractional Laplacian \begin{equation} \left\{\begin{aligned} (- Δ)_p^{s}\, u + μ(- Δ)_q^{s}\, u+ |u|^{p-2}u+μ|u|^{q-2}u=λ V(x)|u…
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…
Regularity results for quasilinear elliptic problems driven by the fractional -Laplacian operator
M. L. Carvalho, E. D. Silva, J. C. de Albuquerque +1
It is established estimates for the fractional -Laplacian operator defined in bounded domains where the nonlinearity is subcritical or critical in a suitable sense. Furt…
Multiple solutions for two classes of quasilinear problems defined on a nonreflexive Orlicz-Sobolev space
Claudianor O. Alves, Sabri Bahrouni, Marcos L. M. Carvalho
In this paper, we prove the existence and multiplicity of solutions for a large class of quasilinear problems on a nonreflexive Orlicz-Sobolev space. Here, we use the variational m…
Fractional double phase Robin problem involving variable order-exponents without Ambrosetti-Rabinowitz condition
Reshmi Biswas, Sabri Bahrouni, Marcos L. Carvalho
We consider a fractional double phase Robin problem involving variable order and variable exponents. The nonlinearity is a Carathéodory function satisfying some hypotheses whic…
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…
Compact embedding theorems and a Lions' type Lemma for fractional Orlicz-Sobolev spaces
Edcarlos D. Silva, Marcos L. M. Carvalho, José Carlos de Albuquerque +1
In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional…
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…
Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces
Sabri Bahrouni, Ariel Salort
In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin t…
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…