2023
Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres
Journal Of Geometric Analysis. 2023-09-01. Vol. 33, num. 9, p. 280. DOI : 10.1007/s12220-023-01326-6.The first Grushin eigenvalue on cartesian product domains
Advances In Calculus Of Variations. 2023-03-31. DOI : 10.1515/acv-2022-0015.Les géodésiques des métriques finslériennes et pseudo-finslériennes faibles de basse régularité
Lausanne, EPFL, 2023.2022
On the equation (Du)(t) H Du = G
Nonlinear Analysis-Theory Methods & Applications. 2022-01-01. Vol. 214, p. 112554. DOI : 10.1016/j.na.2021.112554.2021
Complementary Asymptotically Sharp Estimates for Eigenvalue Means of Laplacians
International Mathematics Research Notices. 2021-06-01. Vol. 2021, num. 11, p. 8405-8450. DOI : 10.1093/imrn/rnz085.On the spectral asymptotics for the buckling problem
Journal Of Mathematical Physics. 2021-12-01. Vol. 62, num. 12, p. 121501. DOI : 10.1063/5.0069529.2020
Regularity of solutions for a fourth-order elliptic system via Conservation law
Journal of the London Mathematical Society-Second Series. 2020. Vol. 101, num. 3, p. 907-922. DOI : 10.1112/jlms.12289.2019
Warped tori with almost non-negative scalar curvature
Geometriae Dedicata. 2019-06-01. Vol. 200, num. 1, p. 153-171. DOI : 10.1007/s10711-018-0365-y.A Gauss-Bonnet Theorem for Asymptotically Conical Manifolds and Manifolds with Conical Singularities
Lausanne, EPFL, 2019.2017
Detecting Anisotropic Inclusions Through EIT
Archive For Rational Mechanics And Analysis. 2017. Vol. 226, num. 3, p. 1139-1160. DOI : 10.1007/s00205-017-1151-y.The Myers-Steenrod Theorem For Finsler Manifolds Of Low Regularity
Proceedings Of The American Mathematical Society. 2017. Vol. 145, num. 6, p. 2699-2712. DOI : 10.1090/proc/13407.2016
Minkowski space is locally the Noldus limit of Poisson process causets
Classical And Quantum Gravity. 2016. Vol. 33, num. 17, p. 175008. DOI : 10.1088/0264-9381/33/17/175008.Minimal entropy for uniform lattices in product of hyperbolic planes
Commentarii Mathematici Helvetici. 2016. Vol. 91, num. 1, p. 107-129. DOI : 10.4171/Cmh/379.2014
The connectivity at infinity of a manifold and Sobolev inequalities
Expositiones Mathematicae. 2014. Vol. 32, num. 4, p. 365-383. DOI : 10.1016/j.exmath.2013.12.006.Scaled Alexander-Spanier Cohomology and Lqp Cohomology for Metric Spaces
Lausanne, EPFL, 2014.Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound
Mathematische Zeitschrift. 2014. Vol. 277, num. 3-4, p. 867-891. DOI : 10.1007/s00209-014-1282-x.2013
Harmonic Maps on Smooth Metric Measure Spaces and on Riemannian Polyhedra
Lausanne, EPFL, 2013.2012
The Holder-Poincaré duality for Lqp-cohomology
Annals Of Global Analysis And Geometry. 2012. Vol. 41, p. 25-45. DOI : 10.1007/s10455-011-9269-x.2011
The corona theorem for the Drury–Arveson Hardy space and other holomorphic Besov–Sobolev spaces on the unit ball in C-n
Analysis & Pde. 2011. Vol. 4, p. 499-550. DOI : 10.2140/apde.2011.4.499.Déformations conformes des variétés de Finsler-Ehresmann
Lausanne, EPFL, 2011.2010
A Short Proof of the Holder-Poincare Duality for Lp-Cohomology
Rendiconti Del Seminario Matematico Della Universita Di Padova. 2010. Vol. 124, p. 179-184.A Conformal de Rham Complex
Journal of Geometric Analysis. 2010. Vol. 20, num. 3, p. 651-669. DOI : 10.1007/s12220-010-9119-2.2009
On the Hodge decomposition in $\mathbb{R}^n$
Moscow Mathematical Journal. 2009. Vol. 9, num. 4, p. 899-926.Lq,p-cohomology of Riemannian manifolds and simplicial complexes of bounded geometry
Lausanne, EPFL, 2009.Les surfaces à courbure intégrale bornée au sens d’Alexandrov
ArXiv. 2009. Vol. arXiv:0906.3407v1 [math.DG].Distortion of Mappings and $L_{q,p}$-Cohomology
Mathematische Zeitschrift. 2009. Vol. 264, p. 279. DOI : 10.1007/s00209-008-0463-x.Weak Finsler structures and the Funk weak metric
Mathematical Proceedings of the Cambridge Philosophical Society. 2009. Vol. 147, num. 2, p. 419–437. DOI : 10.1017/S0305004109002461.Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry
Expositiones Mathematica. 2009. Vol. 27, num. 2, p. 109-124. DOI : 10.1016/j.exmath.2008.10.001.Finsler Conformal Lichnerowicz-Obata conjecture
Annales de l’institut Fourier. 2009. Vol. 59, num. 3, p. 937-949. DOI : 10.5802/aif.2452.$L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature
Sobolev Spaces in Mathematics; New York: Springer, 2009. p. 199-208.Cour de géométrie
Lausanne: Presses Polytechniques et Universitaires Romandes (PPUR), 2009.2008
On the naturality of the exterior differential
C. R. Math. Rep. Acad. Sci. Canada. 2008. Vol. 30, num. 1, p. 1-10.Mesures et Intégration
2008.Steiner’s Invariants and Minimal Connections
Portugaliae Mathematica. 2008. Vol. 65, num. 2, p. 237-242.2007
On the moduli space of singular Euclidean surfaces
Handbook of Teichmüller theory.; Zürich: Eur. Math. Soc., Zürich, 2007. p. 507-540.Weak metrics on Euclidean domains
JP Journal of Geometry and Topology. 2007. Vol. 7, num. 1, p. 23-44.2006
Piecewise flat Metrics on Surfaces and the Moduli Space
2006. Teichmüller Space (Classical and Quantum), Oberwolfach, May 28th — June 3rd, 2006. p. 1602.Sobolev inequalities for differential forms and $L_{q,p}$-cohomology
Journal of Geometric Analysis. 2006. Vol. 16, num. 4, p. 597-631. DOI : 10.1007/BF02922133.Regularity in metric spaces
Lausanne, EPFL, 2006.2005
Thurston’s weak metric on the Teichmüller space of the torus
Trans. Am. Math. Soc.. 2005. Vol. 357, num. 8, p. 3311-3324. DOI : 10.1090/S0002-9947-05-03735-9.2003
Interview
2003
Tangent Spaces to Metric Spaces: Overview and Motivations
Séminaire Borel 2003 (IIIème Cycle Romand de Mathématiques). , Berne,Mean curvature and asymptotic volume of small balls
American Mathematical Monthly. 2003. Vol. 110, num. 10, p. 947-950. DOI : 10.2307/3647968.2002
Liouville type theorems for mappings with bounded (co)-distortion
Annales de l’Institut Fourier. 2002. Vol. 52, num. 6, p. 1753-1784. DOI : 10.5802/aif.1933.Capacities in metric spaces
Integral Equations Oper. Theory. 2002. Vol. 44, num. 2, p. 212-242. DOI : 10.1007/BF01217533.2001
Boundary behavior of quasi-regular maps and the isodiametric profile
Conformal Geometry and Dynamics. 2001. Vol. 5, p. 81–99. DOI : 10.1090/S1088-4173-01-00076-5.Voronoi diagrams on piecewise flat surfaces and an application to biological growth
Theoretical Computer Science. 2001. Vol. 263, num. 1-2, p. 263-274. DOI : 10.1016/S0304-3975(00)00248-6.Concentration et Inégalité de Poincaré
Séminaire Borel 2001 (IIIème Cycle Romand de Mathématiques). , Berne,Axiomatic theory of Sobolev spaces
Expo. Math.. 2001. Vol. 19, num. 4, p. 289-336. DOI : 10.1016/S0723-0869(01)80018-9.An integral characterization of Hajlasz-Sobolev space
C. R. Acad. Sci. Paris Sér. I Math.. 2001. Vol. 333, num. 5, p. 445-450. DOI : 10.1016/S0764-4442(01)02088-2.2000
Approximately Lipschitz mappings and Sobolev mappings between metric spaces.
2000
Solving the $p$-Laplacian on manifolds
Proceedings of the American Mathematical Society. 2000. Vol. 128, num. 2, p. 541-545. DOI : 10.1090/S0002-9939-99-05035-2.1999
Parabolicity of manifolds
Siberian Adv. Math.. 1999. Vol. 9, num. 4, p. 125-150.The Kelvin-Nevanlinna-Royden criterion for $p$-parabolicity
Mathematische Zeitschrift. 1999. Vol. 232, num. 4, p. 607-619. DOI : 10.1007/PL00004775.1998
Sur la non-résolubilité du $p$-laplacien sur $R^n$
Comptes Rendus de l’Académie des Sciences – Series I – Mathematiques. 1998. Vol. 326, num. 10, p. 1185-1187. DOI : 10.1016/S0764-4442(98)80224-3.L’horizon de SOL
Expo. Math.. 1998. Vol. 16, num. 5, p. 441-479.The $L_{pq}$-cohomology of SOL
Annales de la Faculté des sciences de Toulouse : Mathématiques. 1998. Vol. 7, num. 4, p. 687-698.1996
Le polytechnicien est-il un universitaire ?
1996
1993
Riemann surfaces with simple singularities. (Surfaces riemanniennes à singularités simples.)
1993
1992
Prescribing curvature on open surfaces
Mathematische Annalen. 1992. Vol. 293, num. 1, p. 277-315. DOI : 10.1007/BF01444716.Dialogue Polynomial
1992.1991
Un principe de concentration-compacité pour les suites de surfaces riemanniennes
Ann. Inst. H. Poincaré Anal. Non Linéaire. 1991. Vol. 8, num. 5, p. 419–441. DOI : 10.1016/S0294-1449(16)30255-4.Prescribing curvature on compact surfaces with conical singularities
Trans. Am. Math. Soc.. 1991. Vol. 324, num. 2, p. 793-821. DOI : 10.2307/2001742.The Schwarz lemma for nonpositively curved Riemannian surfaces
Manuscr. Math.. 1991. Vol. 72, num. 3, p. 251-256. DOI : 10.1007/BF02568278.1990
Some Universal Estimates on Eigenvalues of orientable Riemannian Surfaces.
1990