Publications

• Thèse

Existence and multiplicity of solutions for elliptic problems with critical growth in the gradient, Existence et multiplicité de solutions pour des problèmes elliptiques avec croissance critique dans le gradient

Antonio J. Fernández Sánchez

In this thesis, we provide existence, non-existence, uniqueness and multiplicity results for partial differential equations with critical growth in the gradient. The principal techniques employed in our proofs are variational techniques, lower and upper solution theory, a priori estimates and…, Dans cette thèse, nous donnons des résultats d’existence, de non-existence, d’unicité et de multiplicité de solutions pour des équations aux dérivées partielles avec croissance critique dans le gradient. Les principales méthodes utilisées dans nos preuves sont des arguments variationnels, la…

Analysis of PDEs [math.AP]. Université de Valenciennes et du Hainaut-Cambresis, 2019. English. ⟨NNT : 2019VALE0020⟩. ⟨tel-02299049⟩

• Chapitre d'ouvrage

Monomial Representations of Discrete Type of an Exponential Solvable Lie Group

Ali Baklouti, Hidenori Fujiwara, Jean Ludwig

Let G be an exponential solvable Lie group, H an analytic subgroup of G and χ a unitary character of H. We study some problems related to the induced representation τ=indGHχ of G when τ has multiplicities either finite or infinite of discrete type. In particular, we are interested in the Plancherel…

Geometric and harmonic analysis on homogeneous spaces, pp.1-55, 2019, ⟨10.1007/978-3-030-26562-5_1⟩. ⟨hal-03313494⟩

• Article dans une revue

Comparing variational methods for the hinged Kirchhoff plate with corners

Colette De Coster, Serge Nicaise, Guido Sweers

The hinged Kirchhoff plate model contains a fourth order elliptic differential equation complemented with a zeroeth and a second order boundary condition. On domains with boundaries having corners the strong setting is not well‐defined. We here allow boundaries consisting of piecewise C2, 1‐curves…

Mathematical News / Mathematische Nachrichten, 2019, 292 (12), pp.2574-2601. ⟨10.1002/mana.201800092⟩. ⟨hal-03164134⟩

• Article dans une revue

A posteriori error estimates for a fully discrete approximation of Sobolev equations

Serge Nicaise, Fatiha Bekkouche

The paper presents an a posteriori error estimator for a (piecewise linear) conforming finite element approximation of some (linear) Sobolev equations in R d , d = 2 or 3, using implicit Euler's scheme. For this discretization, we derive a residual indicator, which uses a spatial residual…, L'accès aux articles de la revue « Confluentes Mathematici » (http://cml.cedram.org/), implique l'accord avec les conditions générales d'utilisation (http://cml.cedram.org/legal/). Toute reproduction en tout ou partie de cet article sous quelque forme que ce soit pour tout usage…

Confluentes Mathematici, 2019, 11 (1), pp.3-28. ⟨10.5802/cml.53⟩. ⟨hal-04305434⟩

• Communication dans un congrès

Finite element discretizations of high-frequency wave propagation problems in heterogeneous media

Théophile Chaumont-Frelet, Serge Nicaise

Waves 2019 - 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienna, Austria. ⟨hal-02321137⟩

• Proceedings/Recueil des communications

Comparison of microwave sintering of microsized and nanosized hydroxyapatite powders

Pierre Lefeuvre, Anthony Thuault, Jean-Christophe Hornez, Anne Leriche, S. Hocquet

CIEC 16 European Inter-regional Conference on Ceramics Torino, 9-11 September 2018, Editore/Publisher Politecnico di Torino., pp.106-110, 2019, 9788885745216. ⟨hal-04408029⟩

• Chapitre d'ouvrage

Minkowski-Lorentz Spaces Applications: Resolution of Apollonius and Dupin Problems

L. Garnier, J. P. Bécar, Lucie Druoton, L. Fuchs, Géraldine Morin

Encyclopedia of Computer Graphics and Games, Springer International Publishing, pp.1-10, 2019, ⟨10.1007/978-3-319-08234-9_381-1⟩. ⟨hal-03521746⟩

• Communication dans un congrès

Sharp stability analysis for high-order finite element discretizations of general wave propagation problems

Théophile Chaumont-Frelet, Serge Nicaise

ICIAM 2019 - International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain. ⟨hal-02321133⟩

• Communication dans un congrès

Finite element approximation of Maxwell's equations with unfitted meshes for borehole simulations

Théophile Chaumont-Frelet, Serge Nicaise, David Pardo

ICIAM 2019 - International Congress on Industrial and Applied Mathematics, Jul 2019, Valencia, Spain. ⟨hal-02321135⟩

• Communication dans un congrès

A new focus variation apparatus for multiscale topographical surface analysis: Application to High Entropy Alloys coatings

Anais Galliere, Hervé Morvan, Jean-François Trelcat, Laurent Boilet, Emmanuel Paris, Mirentxu Dubar, Maxence Bigerelle

22nd International Conference on Metrology and Properties of Surfaces, Jul 2019, Lyon, France. ⟨hal-03432448⟩