Université de Pau et des Pays de l'Adour

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20012026

most citedEstimation of extended mixed models using latent classes and latent processes: the R package lcmm

1.1k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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30 papers · 1 filter

math.AP2025

3D Modeling of Solar Oscillations with Hybridizable Discontinuous Galerkin Method

Florian Faucher, Ha Pham, Damien Fournier +5

With increasing quantity and quality of solar observations, it becomes essential to account for three-dimensional heterogeneities in wave modeling for seismic data interpretation.…

math.AP2025★ 4 cited

Normalized solutions to a Choquard equation involving mixed local and nonlocal operators

J. Giacomoni, Nidhi Nidhi, K. Sreenadh

In the present paper, we study the existence of normalized solutions for a Choquard type equation involving mixed diffusion type operators. We also provide regularity results of th…

math.AP2025

Asymptotic modelling of a skin effect in magnetic conductors

Victor Péron

We consider the time-harmonic Maxwell equations set on a domain made of two subdomains $Ω_{-}$ and $Ω_{+}$ , such that $Ω_{-}$ represents a magnetic conductor and $Ω_{+}$ represents…

math.AP2023★ 1 cited

The concept of mapped coercivity for nonlinear operators in Banach spaces

Roland Becker, Malte Braack

We provide a concise proof of existence for nonlinear operator equations in separable Banach spaces. Notably, the operator is not assumed to be monotone. Instead, our main hypothes…

math.AP2022★ 8 cited

Choquard equation involving mixed local and nonlocal operators

Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh

In this article, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects and in the presence of critical nonlinearity of Hartree type…

math.AP2022★ 2 cited

A Choquard type equation with a singular absorption nonlinearity in two dimension

Gurdev Anthal, Jacques Giacomoni, Konijeti Sreenadh

In this article, we show the existence of a nonnegative solution to the singular problem $(\mc P_\la)$ posed in a bounded domain $Ω$ in $\mb R^2$ (see below). We achieve this by ap…

math.AP2021★ 20 cited

Global regularity results for non-homogeneous growth fractional problems

Jacques Giacomoni, Deepak Kumar, K. Sreenadh

This article concerns with the global Hölder regularity of weak solutions to a class of problems involving the fractional $(p, q)$ -Laplacian, denoted by $(-Δ)^{s_1}_{p}+(-Δ)^{s_2}_{…

math.AP2020★ 8 cited

Homogenization of immiscible compressible two--phase flow in random porous media

Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski

The paper deals with homogenization of a model problem describing an immiscible compressible two-phase flow in random statistically homogeneous porous media. We derive the effectiv…

math.AP2020

A qualitative study of (p,q) Singular parabolic equations: local existence, Sobolev regularity and asymptotic behaviour

Jacques Giacomoni, Deepak Kumar, K. Sreenadh

The purpose of the article is to study the existence, regularity, stabilization and blow up results of weak solution to the following parabolic $(p, q)$ -singular equation: \begin{eq…

math.AP2020

Sobolev and Hölder regularity results for some singular nonhomogeneous quasilinear problems

J. Giacomoni, Deepak Kumar, K. Sreenadh

This article deals with the study of the following singular quasilinear equation: \begin{equation*} (P) \left\{ \ -Δ_{p}u -Δ_{q}u = f(x) u^{-δ},\; u>0 \text{ in }\; \Om; \; u=0 \te…

math.AP2020★ 2 cited

Singular doubly nonlocal elliptic problems with Choquard type critical growth nonlinearities

Jacques Giacomoni, Divya Goel, K. Sreenadh

The theory of elliptic equations involving singular nonlinearities is well studied topic but the interaction of singular type nonlinearity with nonlocal nonlinearity in elliptic pr…

math.AP2019★ 1 cited

Doubly nonlinear equation involving $p (x)$ -homogeneous operators: local existence, uniqueness and global behaviour

Rakesh Arora, Jacques Giacomoni, Guillaume Warnault

In this work, we investigate the qualitative properties as uniqueness, regularity and stabilization of the weak solution to the nonlinear parabolic problem involving general $p (x)$ …

math.AP2019★ 27 cited

Turbulent flows as generalized Kelvin-Voigt materials: modeling and analysis

Cherif Amrouche, Luigi C. Berselli, Roger Lewandowski +1

We model a 3D turbulent fluid, evolving toward a statistical equilibrium, by adding to the equations for the mean field $(v, p)$ a term like $- α \nabla \cdot (ℓ (x) D v_{t})$ . This is…

math.AP2018★ 2 cited

Semigroup theory for the Stokes operator with Navier boundary condition on $L^{p}$ spaces

Cherif Amrouche, Miguel Escobedo, Amrita Ghosh

We consider the incompressible Navier-Stokes equations in a bounded domain with $C^{1, 1}$ boundary, completed with slip boundary condition. Apart from studying the genera…

math.AP2018★ 13 cited

Global and blow-up radial solutions for quasilinear elliptic systems arising in the study of viscous, heat conducting fluids

Marius Ghergu, Jacques Giacomoni, Gurpreet Singh

We study positive radial solutions of quasilinear elliptic systems with a gradient term in the form $$ \left\{ \begin{aligned} Δ_{p} u&=v^{m}|\nabla u|^α&&\quad\mbox{ in }Ω,\\ Δ_{p…

math.AP2018★ 4 cited

Homogenization for non-local elliptic operators in both perforated and non-perforated domains

Loredana Balilescu, Amrita Ghosh, Tuhin Ghosh

In this paper, we focus on the homogenization process of the non-local elliptic boundary value problem $$\mathcal{L}_\varepsilon^s u_\varepsilon =(-\nabla\cdot (A_\varepsilon(x)\na…

math.AP2017★ 1 cited

Doubly nonlocal system with Hardy-Littlewood-Sobolev critical nonlinearity

J. Giacomoni, Tuhina Mukherjee, K. Sreenadh

This article concerns about the existence and multiplicity of weak solutions for the following nonlinear doubly nonlocal problem with critical nonlinearity in the sense of Hardy-Li…

math.AP2017

Positive solutions to a fractional equation with singular nonlinearity

Adimurthi, Jacques Giacomoni, Sanjiban Santra

In this paper, we study the positive solutions to the following singular and non local elliptic problem posed in a bounded and smooth domain $Ω \subset R^{N}$ , $N > 2 s$ : % \begin{eqna…

math.AP2014

Fully homogenized model for immiscible incompressible two-phase flow through heterogeneous porous media with thin fractures

Mladen Jurak, Leonid Pankratov, Anja Vrbaški

In this paper we discuss a model describing global behavior of the two phase incompressible flow in fractured porous media. The fractured media is regarded as a porous medium consi…

math.AP2014★ 54 cited

On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems

Mehdi Badra, Takéo Takahashi

In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type $y^{'} = A y + B u$ . We precise the result pr…

math.AP2012★ 48 cited

The Gel'fand problem for the biharmonic operator

Louis Dupaigne, Olivier Goubet, Guillaume Warnault +1

We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.

math.AP2011★ 12 cited

Lagrangian for the Convection-Diffusion Equation

Jacky Cresson, Isabelle Greff, Pierre Inizan

Using the asymmetric fractional calculus of variations, we derive a fractional Lagrangian variational formulation of the convection-diffusion equation in the special case of consta…

math.AP2011★ 32 cited

Entire large solutions for semilinear elliptic equations

Louis Dupaigne, Marius Ghergu, Olivier Goubet +1

We analyze the semilinear elliptic equation $Δ u = ρ (x) f (u)$ , $u > 0$ in $R^{D}$ $(D \geq 3)$ , with a particular emphasis put on the qualitative study of entire large solutions, t…

math.AP2010

The Peierls-Nabarro model as a limit of a Frenkel-Kontorova model

Ahmad Fino, Hassan Ibrahim, Régis Monneau

We study a generalization of the fully overdamped Frenkel-Kontorova model in dimension $n \geq 1.$ This model describes the evolution of the position of each atom in a crystal, and…