"I introduce myself..."

I am a temporary teaching and research assistant (ATER) at the "Amiens Laboratory of Fundamental and Applied Mathematics" (LAMFA). I am a member of A3 team.
I am a PhD in Mathematics, my topic of my thesis is entitled "Qualitative properties and geometric aspects of solutions to nonlinear partial differential equations in unbounded domains".

During 2 years, I organized the PhD's student seminar with Ismail Razack and Owen Garnier, as well as with Mickael Schoonheere and Marc Talleux, (fans be warned!).


Here is my CV.

My career path

• 2025/... : ATER.
• 2022/2025: Phd.
• 2021/2022: Master 2 Applied Analysis and Modelisation.
• 2020/2021: Master 2 Aggregation preparation (Admitted, rank:284).
• 2019/2020: Master 1 at l'UPJV.
• 2018/2019: Licence 3 at l'UPJV.
• 2016/2018: MPSI et MP* at Lycée Louis Thuillier.

Mes research, articles

Thesis: Qualitative properties and geometric aspects of solutions to nonlinear partial differential equations in unbounded domains.

Supervisor: Alberto FARINA, Professor at LAMFA.

Key words: Qualitative properties and classification of solutions, Partial Differential Equations (PDE), Regularity, Infinite behavior.

Summary: The thesis project is devoted to study the qualitative properties and to the classification of the solutions to nonlinear partial differential equations of elliptic type on unbounded domains such as the entire Euclidean space, the half-space or, more generally, the epigraphs. For these types of domains, we plan to study the qualitative properties of positive or stable solutions (or of finite Morse index) and to demonstrate some results of classification and geometric rigidity (monotonicity, radial symmetry, one-dimensional symmetry ,...) as well as their regularity and their behavior at infinity. The analysis will be carried out using a recent approach which allows to obtain precise information on the geometry of the level sets of the considered solutions, as well as by the use of more classical tools such as the celebrated moving planes method due to James Serrin .

Hear is my manuscript.

Articles:

• One-dimensional symmetry results for semilinear equations and inequalities on half-spaces. N.Beuvin, A.Farina. Nonlinear Anal. TMA 264 (2026)
• Monotonicity for solutions to semilinear problems in epigraphs. N. Beuvin, A. Farina, B. Sciunzi. Journal de Mathématiques Pures et Appliquées, 210, (2026)
• Serrin's overdetermined problems on epigraphs.

Teaching

Year 2022/2023:

• L1 S1 -Calculus.
• L1 S1 -Matrices and computation.
• L3 S5 -Integrations and probabilities .

Year 2023/2024:

• L1 S1 -Matrices and computation.
• L3 S5 -Integrations and probabilities.

Year 2024/2025:

• L1 S1 -Matrices and computation.
• L3 S5 -Integrations and probabilities.

Year 2025/2026:

• L1 S1 -Matrices and computation.
• L1 S1 -Calculus.
• L1 S2 -Real analysis applied.
• L1 S2 -Real analysis fundamental.
• L2 S3 -Topology.
• L3 S6 -Modeling.

Conferences, Seminars,...

Seminars:

• (06/02/2026) EMA team seminar in Calais (LMPA): Classification of solutions to the semi-linear Poisson equation in unbounded domains.
• (19/01/2026) LAMFA A3 team seminar (Amiens): Classification of solutions to the semi-linear Poisson equation in unbounded domains.
• (30/09/2025) ICJ EDPA team day at Lyon: Monotonicity results for solutions of semilinear Poisson equation in epigraphs and applications. (slides)
• (27/06/2025) PhD student's seminar at Pau: Consequences of the monotonicity result on solutions to nonlinear Poisson equation in epigraphs. (slides)
• (26/06/2025) MAP seminar at Pau: Monotonicity results for solutions of nonlinear Poisson equation in epigraphs. (slides)
• (02-06/06/2025) 12 th biennal of SMAI: Monotonicity results for solutions of nonlinear Poisson equation in epigraphs ( slides)
• (26/03/2025) PhD students' seminar at LAMFA: Symmetry and classification results for solutions of nonlinear Poisson's equation.(slides)
• (09/10/2024) PhD students' seminar at LAMFA: Serrin's overdetermined problem in epigraphs.(slides)
• (11/10/2023) PhD students' seminar at LAMFA: Non-linear elliptic problems in unbounded domains.(slides)
• (05/04/2023) PhD students' seminar at LAMFA: Qualitative properties of solutions to nonlinear elliptic partial differential equations.

Maths-Business Study Week (SEME in French):

I took part in the 2023 edition of the SEME which was held in Lille (Polytech). During this week, with 3 PhD student (Ivan Hasenohr, Chabane Meziane, Etienne Peillon), we looked at the subject proposed by the company DELABIE, on the characterisation of an air leak.

contact me:

• nicolas(dot)beuvin(at)u-picardie(dot)fr
• My office: BC013.
• Adress: Université Picardie Jules Verne, 33 rue Saint Leu, 80039 Amiens.