Pierre BÉRARD : Publications

• Articles récents / Recent papers

  
  
  
  • A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited (coll. Bernard Helffer)   HAL.
    Appendix (unpublished). Extracts from A. Stern's thesis. “ Bemerkungen über asymptotisches Verhalten von Eigenwerten und Eigenfunctionen.” Inaugural-Dissertation zur Erlangung der Doktorwürde der Hohen Mathematisch-Naturwissenschaftlichen Fakultät der Georg August-Universität zu Göttingen. Druck der Dieterichschen Univertisäts-Buchdruckerei (W. Fr. Kaestner). Göttingen 1925.  PDF
    
    
  • Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analyses (coll. Bernard Helffer)   HAL.
    Appendix (unpublished). Extracts from A. Stern's thesis. “ Bemerkungen über asymptotisches Verhalten von Eigenwerten und Eigenfunctionen.” Inaugural-Dissertation zur Erlangung der Doktorwürde der Hohen Mathematisch-Naturwissenschaftlichen Fakultät der Georg August-Universität zu Göttingen. Druck der Dieterichschen Univertisäts-Buchdruckerei (W. Fr. Kaestner). Göttingen 1925.  PDF
    
    
  • Remarks on the boundary set of spectral equipartitions (coll. Bernard Helffer)
    HAL (Published in Phil. Trans. A, Dec. 2013).
    
    
  • Spectral positivity and Riemannian coverings (coll. Philippe Castillon)
    HAL (Published in Bull. London Math. Soc. June 2013).
    
    
  • Remarks on J. Espinar's ''Finite index operators on surfaces'' (coll. Philippe Castillon)
    HAL (Unpublished).
    
    
  • Inverse spectral positivity for surfaces (coll. Philippe Castillon)
    HAL (to appear in Revista Mat. Iberoamericana, 2014).
    
    
  • Stability Properties of Rotational Catenoids in the Heisenberg Groups (coll. Marcos P. Cavalcante)
    HAL (to appear in Matemática Contemporânea, 2014)
    
    
  • Eigenvalue estimates for hypersurfaces in H^m x R and applications (coll. Philippe Castillon and Marcos P. Cavalcante), 2010,
    Pacific Journal of Math. 53 (2011), 19-35.
    HAL     arXiv
    
    
  • Lindeloef's theorem for hyperbolic catenoids (coll. Ricardo Sa Earp),
    Proceedings Amer. Math. Soc. 138 (2010), 3657--3669 [Posted June 15, 2010]     HAL
    
    
  • Lindeloef's theorem for catenoids revisited (coll. Ricardo Sa Earp), 2009,
    arXiv:0907.4294     arXiv    
    
    
  • Examples of H-hypersurfaces in Hⁿ x R and geometric applications (coll. Ricardo Sa Earp),
    Matemática Contemporânea 34 (2008), 19--51     HAL    
    
    
  • Minimal hypersurfaces in Hⁿ x R, total curvature and index (coll. Ricardo Sa Earp), 2008,
    arXiv 0808.3838v1     arXiv    
    
    
  • Index growth of hypersurfaces with constant mean curvature (coll. L. Lopes de Lima & W. Rossman), Math. Zeit 2001 Résumé/Summary & Article (PDF)     Expanded version (Postscript)
    
    
  • Eigenvalue and "twisted" eigenvalue problems (coll. L. Barbosa), Journal de Mathématiques Pures et Appliquées 79:5 (2000), 427 -- 450 Postscript
    
    
  • Curvature estimates and stability properties of CMC-submanifolds in space forms (coll. W. Santos), Matemática Contemporânea 17 (1999), 77 -- 97 Postscript
    
    
  • General curvature estimates for stable H-surfaces in space forms (coll. L. Hauswirth), Journal de Mathématiques Pures et Appliquées 78:7 (1999), 667 -- 700 Article (pdf)
    
    
  • Complete hypersurfaces with constant mean curvature and finite total curvature (coll. M. do Carmo & W. Santos), Annals of Global Analysis and Geometry 16 (1998), 273--290
    
    
  • The index of constant mean curvature surfaces in hyperbolic 3-space (coll. M. do Carmo & W. Santos), Math. Z. 224 (1997), 313--326
    
    
  • Simons' equation revisited, An. Acad. bras. Ci. 66 (1994), 397--403 Postscript
  
  

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• Cours / Lecture notes

  • An elementary introduction to eigenvalue problems, with an application to catenoids in R³
    Notes, Escola de Geometria Diferencial (Fortaleza - Brasil, 2008) PDF
    Corrected version (080731) PDF
    
    
  • The isospectral problem for Riemannian manifolds (without pictures), Notes 1993 Postscript
    

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