Publications (460)
ARTICLE
Weak homoclinic solutions of anisotropic difference equation with variable exponents.
A. Guiro, B. Koné, S. Ouaro
In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality
difference equations; homoclinic solutions; discrete Hölder-type inequality; minimization method
ARTICLE
Analytical and Stochastic Modelling of Battery Cell Dynamics
Ingemar Kaj; Victorien Konané
In this work we present and discuss a modelling framework for the basic discharge process which occurs in simple electrochemical battery cells. The main purpose is to provide a setting for analyzing delivered capacity, battery life expectancy and other measures of performance. This includes a number of deterministic and stochastic variations o(...)
Phase plane, Theoretical Capacity, Terminal Voltage, Nominal Capacity, Battery Model
ARTICLE
Weak solutions for some nonlinear elliptic problem with variable exponent and measure data
Stanislas Ouaro and Safimba Soma
We prove the existence of weak solutions to nonlinear elliptic equations with variable exponent and measure data. The functional setting involves Lebesgue-Sobolev spaces with variable exponent and Marcinkiewicz spaces.
generalised Lebesgue-Sobolev spaces, weak solution, bounded Radon measure, p(x)-Laplace operator, electrorheological fluids, Marcinkiewicz spaces
ARTICLE
Entropy solution to an elliptic problem with nonlinear boundary conditions
S. Ouaro, A. Ouédraogo
We consider the equation b(u)−diva(u,Du)=f in a bounded domain with nonlinear boundary conditions of the form −a(u,Du)⋅η∈β(x,u). We introduce a notion of entropy solution for this problem and prove existence and uniqueness of this solution for general L1-data
elliptic problem; entropy solution; nonlinear boundary conditions; capacity; L1-data
ARTICLE
Classification of traces and associated determinants on odd-class operators in odd dimensions
Carolina Neira Jiménez, Marie Françoise Ouedraogo
To supplement the already known classification of traces on classical pseu-dodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a closed odd-dimensional manifold. By means of the one to one correspondence between continuous(...)
opérateurs pseudodifferentiels, classe impaire, trace, déterminant, logarithme
ARTICLE
Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition
I. Nyanquini, S. Ouaro
In this work, we study the following nonlinear non-homogeneous Fourier boundary value problem b(u)−div(a(x,∇u))=f in Ω, a(x,∇u)⋅η+λu=g on ∂Ω, where Ω is a smooth bounded open domain in ℝN, N≥3, p∈C(Ω). We prove the existence and uniqueness of a weak solution for f∈L∞(Ω) and g∈L∞(∂Ω), the existence and uniqueness of an entropy solution for L1-d(...)
Lebesgue spaces with variable exponent; Sobolev spaces with variable exponent; weak solution; entropy solution; Fourier-type boundary condition
ARTICLE
On the solvability of discrete nonlinear two-point boundary value problems
B. Koné, S. Ouaro
We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using a discrete Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions
discrete nonlinear two-point boundary value problems; discrete Wirtinger inequality; Dirichlet and Neumann boundary conditions
ARTICLE
Weak and entropy solutions for a class of nonlinear inhomogeneous Neumann boundary value problem with variable exponent
S. Ouaro
The paper deals with inhomogeneous Neumann boundary value problems involving the p(x)-Laplace operator. Some existence and uniqueness results for weak solutions and entropy solutions are presented
Neumann boundary value problem; p(x)-Laplace operator; weak solution; entropy solution
ARTICLE
Existence and uniqueness of weak and entropy solutions for homogeneous Neumann boundary-value problems involving variable exponents
B.K. Bonzi, I. Nyanquini, S. Ouaro
We study the nonlinear homogeneous Neumann boundary-value problem
b(u)−diva(x,∇u)=fin Ωa(x,∇u).η=0on ∂Ω,
where Ω is a smooth bounded open domain in ℝN, N≥3 and η the outer unit normal vector on ∂Ω. We prove the existence and uniqueness of a weak solution for f∈L∞(Ω) and the existence and uniqueness of an entropy solution for L1-data f. The f(...)
elliptic equation; weak solution; entropy solution; Leray-lions operator; variable exponent
ARTICLE
The multiplicative anomaly for determinants revisited; locality
Marie Françoise Ouedraogo, Sylvie Paycha
Observing that the logarithm of a product of two elliptic operators differs from the sum of the logarithms by a finite sum of operator brackets, we infer that regularised traces of this difference are local as finite sums of noncommutative residues. From an explicit local formula for such regularised traces, we derive an explicit local formula(...)
pseudodifferential operators, noncommutative residue, canonical and weighted traces, zeta and weighted determinants
ARTICLE
Weak and entropy solutions to nonlinear Neumann boundary-value problems with variable exponents
Stanislas Ouaro and Safimba Soma
In this article, we study the following nonlinear Neumann boundary-value problem diva(x,ru)þjujp(x)2 u1⁄4f in , @u 1⁄4 0 on @, where is a
@
smooth bounded open domain in RN, N 3, @u is the outer unit normal @
derivative on @, div a(x, ru) a p(x)-Laplace type operator. We prove the existence and uniqueness of a weak solution for(...)
generalized Lebesgue and Sobolev spaces, weak solution, entropy solution, p(x)-Laplace operator
ARTICLE
On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian
A. Guiro, I. Nyanquini, S. Ouaro
The solvability of Neumann discrete boundary value problem involving anisotropic exponents is discussed in the paper. They apply variational methods, using a minimization theorem.
discrete boundary value problem; critical point; weak solution; electrorheological fluids
ARTICLE
Uniqueness of traces on log-polyhomogeneous pseudodifferential operators
Catherine Ducourtioux, Marie Françoise Ouedraogo
We show how to derive the uniqueness of graded or ordinary traces on some algebras of log-
polyhomogeneous pseudodifferential operators from the uniqueness of their restriction to classical
pseudodifferential ones
log-polyhomogeneous pseudodifferential operators
ARTICLE
Periodic solutions in the α-norm for some partial functional differential equations with finite delay.
K. Ezzinbi, B.A. Kyelem, S. Ouaro
The paper deals with the partial functional differential equation with finite delay in the α-norm
dudt(t)=−Au(t)+f(t,ut),t∈ℝ,
where f:ℝ×Cα→X is a continuous function, σ-periodic in the first argument, A:D(A)⊂X→X is a linear operator, −A is the infinitesimal generator of an analytic semigroup of linear operators (T(t))t≥0 on a Banach space X,(...)
analytic semigroup; partial functional differential equations; α-norm; multivalued maps; periodic solution; Horn’s fixed point theorem
ARTICLE
Well-posedness result for a nonlinear elliptic problem involving variable exponent and Robin type boundary condition.
S. Ouaro, A. Tchousso
We study the following nonlinear elliptic boundary value problem
b(u)−diva(x,∇u)=fa(x,∇u).η=−|u|p(x)−2u in Ω, on ∂Ω,
where Ω is a smooth bounded open domain in ℝN,N≥1 with smooth boundary ∂Ω. We prove the existence and uniqueness of a weak solution for f∈L∞(Ω), the existence and uniqueness of an entropy solution for L1-data f. The functional(...)
Lebesgue and Sobolev spaces with variable exponent; weak solution; entropy solution; Robin type boundary condition