Homepage of Laurent Mazet

Publications

Research articles :

32 Stable minimal hypersurfaces in $\mathbb R^6$ pdf

31 Rigidity of min-max minimal disks in $3$-balls with non-negative Ricci curvature with A. Mendes pdf

30 Free boundary minimal hypersurfaces outside of the ball Rev. Mat. Iberoam. 40 (2024) 277--298 with A. Mendes pdf doi

29 Rigidity of Riemannian manifolds containing an equator Comm. Anal. Geom. 32 (2024) 21--64 pdf doi

28 Minimal planes in asymptotically flat three-manifolds J. Differential Geom. 120 (2022) 533--556 with H. Rosenberg pdf doi

27 Minimal surfaces near short geodesics in hyperbolic $3$-manifolds Adv. Math. 372 (2020) 107285 with H. Rosenberg pdf doi

26 Characterization of $f$-extremal disks J. Differ. Equations 266 (2019) 2052--2077 with J. M. Espinar pdf doi

25 Minimal graphs over Riemannian surfaces and harmonic diffeomorphisms Amer. J. Math. 141 (2019) 1149--1177 with M. M. Rodriguez and H. Rosenberg pdf doi

24 $f$-extremal domains in hyperbolic space Calc. Var. Partial Differential Equations 60 (2021) with J. M. Espinar and A. Farina pdf doi

23 Minimal hypersurfaces of least area J. Differential Geom. 106 (2017) 283--316 with H. Rosenberg pdf doi

22 A half-space theorem for graphs of constant mean curvature $0\lt H \lt\frac12$ in $\mathbb{H}^2\times\mathbb{R}$ Illinois J. Math. 59 (2015) 43--53 with G. A. Wanderley pdf doi

21 Minimal hypersurfaces asymptotic to Simons cones J. Inst. Math. Jussieu 16 (2017) 39--58 pdf doi

20 Minimal surfaces in finite volume non-compact hyperbolic $3$-manifold Trans. Amer. T Math. Soc. 369 (2017) 4293--4309 with P. Collin, L. Hauswirth and H. Rosenberg pdf doi

19 The half space property for cmc $1/2$ graphs in $\mathbb{E}(-1,\tau)$ Calc. Var. Partial Differential Equations 52 (2015) 661--680 pdf doi

18 On minimal spheres of area $4\pi$ and rigidity Comment. Math. Helv. 89 (2014) 921--928 with H. Rosenberg pdf doi

17 Cylindrically bounded constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$ Trans. Amer. Math. Soc. 367 (2015) 5329--5354 pdf doi

16 Periodic constant mean curvature surfaces in $\mathbb{H}^2\times\mathbb{R}$ Asian J. Math. 18 (2014) 829--858 with M. M. Rodriguez and H. Rosenberg pdf doi

15 A general halfspace theorem for constant mean curvature surfaces Amer. J. Math. 135 (2011) 801--834 pdf doi

14 Optimal length estimates for stable CMC surfaces in $3$-space forms Proc. Amer. Math. Soc. 137 (2009) 2761--2765 pdf doi

13 The Dirichlet problem for the minimal surface equation -with possibly infinite boundary data- over domains in a Riemanniann surfaces Proc. London. Math. Soc. 102 (2011) 985--1023 with M. M. Rodriguez and H. Rosenberg pdf doi

12 Characterizations of Lojasiewicz inequalities and applications Trans. Amer. Math. Soc. 362 (2010) 3319--3363 with A. Daniilidis, J. Bolte and O. Ley pdf doi

11 Complements to quasi-periodic minimal surfaces Unsebmitted paper pdf

10 A quasi-periodic minimal surface Comment. Math. Helv. 83 (2008) 573--601 with M. Traizet pdf doi

9 Adding one handle to half-plane layers J. Differential Geom. 84 (2010) 389--407 pdf doi

8 Saddle towers with infinitely many ends Indiana Univ. Math. J. 56 (2007) 2821--2838 with M. M. Rodriguez and M. Traizet pdf doi

7 A uniqueness result for maximal surfaces in Minkowski $3$-space C. R. Math. Acad. Sci. Paris 344 (2007) 785--790 pdf doi

6 Some uniqueness results for constant mean curvature graphs Pacific J. Math. 230 (2007) 365–380 pdf doi

5 Lignes de divergence pour les graphes à courbure moyenne constante Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007) 757--771 pdf doi

4 A height estimate for constant mean curvature graphs and uniqueness results Manuscripta Math. 119 (2006) 255--268 pdf doi

3 The Plateau problem at infinity for horizontal ends and genus $1$ Indiana Univ. Math. J. 55 (2006) 15--64 pdf doi

2 Quelques résultats de non-existence pour l'équation des surfaces minimales Bull. Sci. Math. 128 (2004) 577–586 pdf doi

1 The Dirichlet problem for minimal surfaces equation and Plateau problem at infinity J. Inst. Math. Jussieu 3 (2004) 397--420 pdf doi

Other texts

My memoir of "habilitation à diriger des recherches": Quelques résultats en théorie des surfaces à courbure moyenne constante pdf

My PhD thesis: Construction de surfaces minimales par résolution du problème de Dirichlet pdf