Nombre de documents

21

Pierre Bérard Liste de publications HAL


Article dans une revue15 documents

  • Pierre Bérard, Bernard Helffer. Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in $\mathbb{R}^2$ . Contemporary mathematics, American Mathematical Society, 2017, Geometric and Computational Spectral Theory, 700, pp.87--116. 〈DOI: 10.1090/conm/700/14184〉. 〈hal-01160620v2〉
  • Pierre Bérard, Bernard Helffer. The weak Pleijel theorem with geometric control. Journal of Spectral Theory, EMS, 2016, 6 (4), pp.717--733. 〈DOI: 10.4171/JST/138〉. 〈hal-01244630v2〉
  • Pierre Bérard, Bernard Helffer. Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Letters in Mathematical Physics, Springer Verlag, 2016, 106 (12), pp.1729--1789. 〈DOI: 10.1007/s11005-016-0819-9〉. 〈hal-01120958v3〉
  • Pierre Bérard, Ricardo Sa Earp. Minimal hypersurfaces in $\HH^n \times \R$, total curvature and index. Bollettino dell'Unione Matematica Italiana, 2016, 9 (3), pp.341--468. 〈hal-00315294v3〉
  • Pierre Bérard, Bernard Helffer. A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited. Monatshefte für Mathematik, Springer Verlag, 2016, 180 (3), pp.435--468. 〈DOI: 10.1007/s00605-015-0788-6〉. 〈hal-01026363v4〉
  • Pierre Bérard, Bernard Helffer. Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analyses. Springer Proceedings in Mathematics & Statistics, Springer, 2015, Analysis and Geometry. MIMS-GGTM conference in memory of M. S. Baouendi. Ali Baklouti, Aziz El Kacimi, Sadok Kallel, and Nordine Mir Editors., 127, pp.69--114. 〈DOI: 10.1007/978-3-319-17443-3_6〉. 〈hal-00951531v4〉
  • Pierre Bérard, Philippe Castillon. Inverse spectral positivity for surfaces. Revista Matemática Iberoamericana, European Mathematical Society, 2014, 30, pp.1237-1264. 〈http://www.ems-ph.org/journals/journal.php?jrn=RMI〉. 〈10.4171/RMI/813〉. 〈hal-00644783v4〉
  • Pierre Bérard, Marcos Cavalcante. Stability Properties of Rotational Catenoids in the Heisenberg Groups. Matemática Contemporânea, Sociedade Brasileira de Matemática, 2014, 43, pp.37--60. 〈hal-00523308v3〉
  • Pierre Bérard, Bernard Helffer. Remarks on the boundary set of spectral equipartitions. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Royal Society, The, 2014, 372, pp.20120492. 〈http://rsta.royalsocietypublishing.org/〉. 〈10.1098/rsta.2012.0492〉. 〈hal-00678905v2〉
  • Pierre Bérard, Philippe Castillon. Spectral positivity and Riemannian coverings. Bulletin of the London Mathematical Society / The Bulletin of the London Mathematical Society, 2013, 45, pp.1041-1048. 〈10.1112/blms/bdt030〉. 〈hal-00682177v3〉
  • Pierre Bérard, Philippe Castillon, Marcos Cavalcante. Eigenvalue estimates for hypersurfaces in $H^m \times R$ and applications. Pacific Journal of Mathematics, 2011, 253 (1), pp.19-35. 〈10.2140/pjm.2011.253.19〉. 〈hal-00499253〉
  • Pierre Bérard, Ricardo Sa Earp. Lindelöf's theorem for hyperbolic catenoids. Proceedings of the American Mathematical Society, American Mathematical Society, 2010, 138, pp.3657-3669. 〈10.1090/S0002-9939-2010-10492-6〉. 〈hal-00429404〉
  • Pierre Bérard. Sur le rôle des publications en mathématiques. médecine/sciences, EDP Sciences, 2008, 24 (6-7), pp.647-651. 〈hal-00357694〉
  • Pierre Bérard, Ricardo Sa Earp. Examples of $H$-hypersurfaces in $H^n \times R$ and geometric applications. Matemática Contemporânea, Sociedade Brasileira de Matemática, 2008, 34 (2008), pp.19-51. 〈hal-00360077v2〉
  • Pierre Bérard, Laurent Hauswirth. General curvature estimates for stable H-surfaces immersed into a space form. Journal de Mathématiques Pures et Appliquées, Elsevier, 1999, 78 (9), pp.667-700. 〈hal-00795400〉

Ouvrage (y compris édition critique et traduction)1 document

  • Pierre Bérard. An elementary introduction to eigenvalue problems with an application to catenoids in $R^3$. XV Escola de geometria diferencial. IMPA - Instituto nacional de matematica pura e aplicada, Rio de Janeiro (Brasil), pp.52, 2008. 〈hal-00357710〉

Pré-publication, Document de travail5 documents

  • Pierre Bérard, Bernard Helffer. On Courant's nodal domain property for linear combinations of eigenfunctions. IF_PREPUB. 2017. 〈hal-01519629v3〉
  • Pierre Bérard, Bernard Helffer. Sturm's theorem on zeros of linear combinations of eigenfunctions. IF_PREPUB. 2017. 〈hal-01541645v2〉
  • Pierre Bérard, Bernard Helffer. On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --. IF_PREPUB. 2014. 〈hal-01061738〉
  • Pierre Bérard, Philippe Castillon. Remarks on J. Espinar's ''Finite index operators on surfaces''. IF_PREPUB. 2012. 〈hal-00686050〉
  • Pierre Bérard, Ricardo Sa Earp. Lindelöf's theorem for catenoids revisited. IF_PREPUB. 2009. 〈hal-00407395〉