Publications


  1. Free boundary minimal surfaces of any topological type in Euclidean balls via shape optimization, arXiv200406051, H. Matthiesen, R. Petrides, https://arxiv.org/abs/2004.06051
  2. Minimal Bubbling for Willmore Surfaces, arXiv1906.00248, N. Marque, https://arxiv.org/abs/1906.00248
  3. An ε-regularity result with mean curvature control for Willmore immersions and application to minimal bubbling, arXiv1904.015215, N. Marque, https://arxiv.org/abs/1904.05215
  4. Conformal Gauss Map Geometry and Application to Willmore Surfaces in Model Spaces, arXiv1903.07475, N. Marque, https://arxiv.org/abs/1903.0747
  5. Global uniform estimate for the modulus of 2D Ginzburg-Landau vortexless solutions with asymptotically infinite boundary energy, R. Ignat, M. Kurzke, X. Lamy, SIAM J. Math. Anal., 2020
  6. Singular perturbation of manifold-valued maps with anisotropic energy,  A. Contreras, X. Lamy, arXiv
  7. Lifting of ℝℙd−1-valued maps in BV and applications to uniaxial Q-tensors. With an appendix on an intrinsic BV-energy for manifold-valued maps., R. Ignat, X. Lamy, Calc. Var. Partial Differential Equations, 2019.
  8. Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation, G. Mancini, P.-D. Thizy, J. Math. Anal. Appl., 2019.
  9. When does a perturbed Moser-Trudinger inequality admits an extremal, P.-D. Thizy, Analysis & PDE, 2020. 
  10. Multi-bumps analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points, Olivier Druet and Pierre-Damien Thizy, Journal of the European Mathematical Society, 2020.
  11. Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case, E. Hebey, P.-D. Thizy, Calc. Var. Partial Differential Equations, 2019.
  12. Rigidity of a non-elliptic differential inclusion related to the Aviles-Giga conjecture, X.Lamy, A.Lorent, G.Peng, arXiv
  13. Saturn ring defect around a spherical particle immersed in nematic liquid crystal, S.Alama, L.Bronsard, D.Golovaty, X.Lamy, arXiv
  14. On the Positive Energy Theorem for Stationary Solutions to Fourth-Order Gravity, R. Avalos, P. Laurain et J. Lira, Calc. Var. Partial Differential Equations 61, 2022.
  15. Critical points of the Moser-Trudinger functional on closed surfaces, Francesca De Marchis, Andrea Malchiodi, Luca Martinazzi and Pierre-Damien Thizy, Inventiones mathematicae, 2022.
  16. Sign-changing blow-up for the Moser-Trudinger equation, Luca Martinazzi, Pierre-Damien Thizy and Jérôme Vétois, Journal of Functional Analysis, 2022.
  17. Constant Q-curvature metrics with a singularity​,  T. König et P. Laurain, . Trans. Amer. Math. Soc., 2022.
  18. Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications, Y. Bernard, P. Laurain and N. Marque, Arch. Ration. Mech. Anal., 2023.
  19. Existence of Ginzburg-Landau minimizers with optimal boundary data and applications, P. Laurain, R. Petrides. arXiv.
  20. Rigidity Theorems for Asymptotically Euclidean Q-singular Spaces,  A.Avalos, P. Laurain et N. Marque, arxiv.
  21. Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions, T. König et P. Laurain, arXiv.
  22. Fine multibubble analysis in the higher-dimensional Brezis--Nirenberg problem, T. König et P. Laurain , arXiv.

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