Publications (460)
ARTICLE
On a Class of Leibniz Algebras
Côme J.A.BÉRÉ , Aslao KOBMBAYE , Amidou KONKOBO
We pointed out the class of Leibniz algebras such that the Killing form is non degenerate implies algebras are semisimple.
Killing form; Leibniz algebras; Leibniz modules; Representations; Semisimplicity
ARTICLE
On the existence of ad-nilpotent elements
Côme Jean Antoine Béré, Marie Françoise Ouedraogo, Nakelgbamba Boukary Pilabré
Dans ce travail, nous montrons que toute algèbre de Leibniz, qui est une généralisation non commutative des algèbres de Lie, de dimension finie sur un corps algébriquement clos de caractéristique différente de 2 possède un élément ad-nilpotent non nul. Notre approche est de généraliser ces résultats connus sur les algèbres de Lie
Mots clés non renseignés
ARTICLE
Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions
I. Ibrango, S. Ouaro
The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by approximation methods, we prove a result of existence and uniqueness of entropy solution
anisotropic Sobolev spaces; variable exponent; monotone operator; Fourier boundary conditions; entropy solutions
ARTICLE
Good measures for nonlinear Neumann anisotropic problems with variable exponent
I. Konaté, S. Ouaro
We study in this paper a nonlinear anisotropic problem with homogeneous Neumann boundary condition and Radon diffuse measure data which does not charge the sets of zero p(⋅)-capacity. We first prove, by using the techniques of monotone operators in Banach spaces, the existence of weak solutions and by approximation methods, the existence and u(...)
generalized Lebesgue-Sobolev spaces; anisotropic Sobolev spaces; weak solution; entropy solution; Neumann boundary condition; bounded Radon diffuse measure; Marcinkiewicz spaces
COMMUNICATION
On constacyclic codes over Z_p^m,
Mohammed Elhassani Charkani, Joël Kabore
Let p be a prime number, m = 2 a positive integer, and t a unit of R = Z_p^m, the ring of integers modulo p^m. Let
N = p^kn with gcd(p, n) = 1. In this work, we give a simple and short proof that the quotient ring R[X]I
is a principal ring. This allow us to study (1 + tp)-constacyclic codes of arbitrary length and give a characterization of(...)
Chain ring, Constacyclic codes, Dual codes, self-dual codes
ARTICLE
Entropy solutions for anisotropic nonlinear Dirichlet problems
I. Ibrango, S. Ouaro
We study in this paper nonlinear anisotropic problems with Dirichlet boundary value condition, L1-data and variable exponent. We prove the existence and uniqueness of entropy solution under general conditions on the data
generalized Lebesgue-Sobolev spaces; anisotropic Sobolev spaces; weak solution; entropy solution; Dirichlet boundary condition; Marcinkiewicz spaces
ARTICLE
Entropy solution for doubly nonlinear elliptic anisotropic problems with Robin boundary conditions.
I. Ibrango, S. Ouaro
We study in this paper nonlinear anisotropic problems with Robin boundary conditions. We prove, by using the technic of monotone operators in Banach spaces, the existence of a sequence of weak solutions of approximation problems associated with the anisotropic Robin boundary value problem. For the existence and uniqueness of entropy solutions,(...)
nonlinear anisotropic problems; Robin boundary conditions; weak solutions
ARTICLE
Weak solutions to discrete nonlinear two-point boundary-value problems of Kirchhoff type
B. Koné, I. Nyanquini, S. Ouaro
The authors prove the existence of weak solutions to a family of discrete boundary-value problems whose right-hand side belongs to a discrete Hilbert space. As an extension, the authors prove the existence of weak solutions for problems whose right-hand side depends on the solution
Kirchhoff type problems; discrete boundary-value problem; critical point; weak solution; electrorheological fluids
ARTICLE
Sur la cohomologie des superalgèbres de Lie
MKobmbaye Aslaou, Côme Jean Antoine Béré, Marie Françoise Ouedraogo
Dans ce travail, nous démontrons quelques théorèmes de structure sur la cohomologie des superalgèbres de Lie. Nous avons aussi établi une longue suite exacte du type Hochschild-Serre et nous avons montré l’équivalence entre la nullité du premier groupe de cohomologie des superalgèbres de Lie nilpotentes et celle de l’ensemble des éléments inv(...)
superalgèbre de Lie, super-représentation, cohomologie
ARTICLE
Controllability of Some Impulsive Differential Equation with Infinite delay in Banach Spaces
Issa Zabsonre
In this work, sufficient conditions for the controllability of impulsive systems with nonlocal conditions with infinite delay are established. The results are obtained by using the Schauder fixed point theorem.
Mots clés non renseignés
ARTICLE
Multivalued problem with Robin boundary condition involving diffuse measure data and variable exponent
Stanislas Ouaro, Arouna Ouedraogo and Safimba Soma
We study a nonlinear elliptic problem with Robin type boundary condition, governed by a general Leray–Lions operator with variable exponents and diffuse Radon measure data which does not charge the sets of zero 𝑝( ⋅ )-capacity. We prove an existence and uniqueness result of a weak solution.
Robin boundary condition, diffuse measure, Biting Lemma of Chacon, maximal monotone graph, Radon measure data, weak solution, entropic solution, Leray–Lions operator, subdifferential operator
ARTICLE
Weak heteroclinic solutions and competition phenomena to anisotropic difference equations with variable exponents
A. Guiro, B. Koné, S. Ouaro
In this paper, we prove the existence of weak heteroclinic solutions for a family of anisotropic difference equations under competition phenomena between the parameters
anisotropic difference equations; heteroclinic solutions; discrete Hölder-type inequality; competition phenomena
ARTICLE
Entropy solutions for nonlinear nonhomogeneous Neumann problems involving the generalized p(x)-Laplace operator and measure data
M.B. Benboubker, S. Ouaro, U. Traoré
Our aim in this paper is to study the existence of entropy solutions for the class of nonlinear p(x)-Laplace problems with Neumann nonhomogeneous boundary conditions and diffuse Radon measure data which does not charge the sets of zero p(⋅)-capacity
generalized Sobolev space; Neumann boundary conditions; entropy solution; Radon measure; p(⋅)-capacity
ARTICLE
Entropy solutions to nonlinear elliptic anisotropic problem with variable exponent
M.B. Benboubker, H. Hjiaj, S. Ouaro
The authors establish the existence of an entropy solution for a nonlinear elliptic problem involving a Leray-Lions operator and nonlinear lower terms. The approach relies on anisotropic Sobolev spaces with variable exponent.
anisotropic Sobolev spaces; variable exponent; nonlinear elliptic problem; entropy solutions
ARTICLE
The obstacle problem associated with nonlinear elliptic equations in generalized Sobolev spaces
E. Azroul, M.B. Benboubker, S. Ouaro
This paper is devoted to the study of the following obstacle problem
−div(a(x,u,∇u))+g(x,u,∇u)=f in Ω,(1)
where Ω is an open bounded domain of ℝN(N≥2),a:Ω×ℝ×ℝN→ℝN is a Carathéodory function satisfying some growth, monotonicity and coerciveness conditions.
Under some suitable conditions on the function g and if f∈L1Ω, the authors prove the e(...)
generalized Sobolev spaces; boundary value problems; truncations; penalized equations